238:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000 Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.4.8.2.:@0.139073:0.103262:0.184560:0.103262:0.184560:0.092507:0.139073:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.542738:0.126056:0.561977:0.126056:0.561977:0.108920:0.542738:0.108920:0.000000:0.000000:0.000000 ¿De cuántas maneras pueden llegar en los :@0.571227:0.126056:0.907642:0.126056:0.907642:0.110386:0.571227:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tres primeros lugares veinte autos en una :@0.571227:0.142652:0.907694:0.142652:0.907694:0.126982:0.571227:0.126982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 carrera de grand prix?:@0.571227:0.159248:0.730514:0.159248:0.730514:0.143579:0.571227:0.143579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f) :@0.542738:0.197641:0.559858:0.197641:0.559858:0.180506:0.542738:0.180506:0.000000:0.000000:0.000000 En una tienda hay cinco pelotas de distintos :@0.571227:0.197641:0.898110:0.197641:0.898110:0.181972:0.571227:0.181972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 colores. Si queremos comprar tres pelotas di-:@0.571227:0.214238:0.900655:0.214238:0.900655:0.198568:0.571227:0.198568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ferentes, ¿cuántas combinaciones podemos :@0.571227:0.230834:0.897155:0.230834:0.897155:0.215164:0.571227:0.215164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 formar?:@0.571227:0.247431:0.627063:0.247431:0.627063:0.231761:0.571227:0.231761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g) :@0.542738:0.285823:0.563027:0.285823:0.563027:0.268688:0.542738:0.268688:0.000000:0.000000:0.000000 Cuantos números de tres cifras distintas :@0.571227:0.285823:0.907642:0.285823:0.907642:0.270154:0.571227:0.270154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se pueden formar con las nueve cifras :@0.571227:0.302420:0.907661:0.302420:0.907661:0.286750:0.571227:0.286750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 significativas del sistema decimal?:@0.571227:0.319016:0.820146:0.319016:0.820146:0.303346:0.571227:0.303346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. :@0.514249:0.353799:0.532990:0.353799:0.532990:0.336664:0.514249:0.336664:0.000000:0.000000:0.000000 Calcula:@0.542738:0.353799:0.598150:0.353799:0.598150:0.336899:0.542738:0.336899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , sin usar la calculadora, el factorial indicado.:@0.597782:0.353799:0.900916:0.353799:0.900916:0.338130:0.597782:0.338130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542738:0.377518:0.561977:0.377518:0.561977:0.360383:0.542738:0.360383:0.000000:0.000000:0.000000 3! = :@0.571227:0.377518:0.603089:0.377518:0.603089:0.361849:0.571227:0.361849:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.542738:0.401237:0.563119:0.401237:0.563119:0.384102:0.542738:0.384102:0.000000:0.000000:0.000000 5! = :@0.571227:0.401237:0.603089:0.401237:0.603089:0.385568:0.571227:0.385568:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.542738:0.424956:0.560558:0.424956:0.560558:0.407821:0.542738:0.407821:0.000000:0.000000:0.000000 7! = :@0.571227:0.424956:0.603089:0.424956:0.603089:0.409287:0.571227:0.409287:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.542738:0.448675:0.563230:0.448675:0.563230:0.431540:0.542738:0.431540:0.000000:0.000000:0.000000 8! = :@0.571227:0.448675:0.603089:0.448675:0.603089:0.433006:0.571227:0.433006:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.542738:0.472394:0.561240:0.472394:0.561240:0.455259:0.542738:0.455259:0.000000:0.000000:0.000000 (20 – 16)! = :@0.571227:0.472394:0.653433:0.472394:0.653433:0.456725:0.571227:0.456725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f) :@0.542738:0.496113:0.559120:0.496113:0.559120:0.478978:0.542738:0.478978:0.000000:0.000000:0.000000 (10 – 4)! =:@0.571227:0.496113:0.640773:0.496113:0.640773:0.480444:0.571227:0.480444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. :@0.514249:0.519832:0.532990:0.519832:0.532990:0.502697:0.514249:0.502697:0.000000:0.000000:0.000000 Obtén:@0.542738:0.519832:0.592898:0.519832:0.592898:0.502932:0.542738:0.502932:0.000000:0.000000:0.000000:0.000000:0.000000 el resultado sin usar la calculadora.:@0.592898:0.519832:0.849520:0.519832:0.849520:0.504163:0.592898:0.504163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542738:0.552043:0.561977:0.552043:0.561977:0.534907:0.542738:0.534907:0.000000:0.000000:0.000000 =:@0.593532:0.553085:0.603648:0.553085:0.603648:0.537513:0.593532:0.537513:0.000000 6!:@0.575675:0.543446:0.589385:0.543446:0.589385:0.527776:0.575675:0.527776:0.000000:0.000000 2!:@0.575680:0.562897:0.589022:0.562897:0.589022:0.547228:0.575680:0.547228:0.000000:0.000000 b) :@0.542738:0.595679:0.563119:0.595679:0.563119:0.578543:0.542738:0.578543:0.000000:0.000000:0.000000 =:@0.601960:0.597886:0.612076:0.597886:0.612076:0.582313:0.601960:0.582313:0.000000 20!:@0.575313:0.588246:0.597813:0.588246:0.597813:0.572576:0.575313:0.572576:0.000000:0.000000:0.000000 18!:@0.574737:0.607699:0.597237:0.607699:0.597237:0.592029:0.574737:0.592029:0.000000:0.000000:0.000000 c) :@0.542738:0.645556:0.560558:0.645556:0.560558:0.628420:0.542738:0.628420:0.000000:0.000000:0.000000 −:@0.601122:0.656374:0.611239:0.656374:0.611239:0.640801:0.601122:0.640801:0.000000 =:@0.644417:0.645884:0.654534:0.645884:0.654534:0.630311:0.644417:0.630311:0.000000 12!:@0.596155:0.636245:0.618287:0.636245:0.618287:0.620575:0.596155:0.620575:0.000000:0.000000:0.000000 (2012)!:@0.574889:0.655690:0.640271:0.655690:0.640271:0.640020:0.574889:0.640020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.542733:0.692907:0.563225:0.692907:0.563225:0.675772:0.542733:0.675772:0.000000:0.000000:0.000000 −:@0.607195:0.705112:0.617312:0.705112:0.617312:0.689539:0.607195:0.689539:0.000000 =:@0.642847:0.694622:0.652964:0.694622:0.652964:0.679049:0.642847:0.679049:0.000000 10!:@0.595157:0.684983:0.617657:0.684983:0.617657:0.669313:0.595157:0.669313:0.000000:0.000000:0.000000 4!(9 2)!:@0.576047:0.704428:0.638701:0.704428:0.638701:0.688758:0.576047:0.688758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.542730:0.730208:0.561968:0.730208:0.561968:0.713072:0.542730:0.713072:0.000000:0.000000:0.000000 3!· 2! = :@0.571219:0.730208:0.623130:0.730208:0.623130:0.714538:0.571219:0.714538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f) :@0.542730:0.767508:0.559849:0.767508:0.559849:0.750372:0.542730:0.750372:0.000000:0.000000:0.000000 4!· (2! − 2!) = :@0.571219:0.767508:0.664758:0.767508:0.664758:0.751838:0.571219:0.751838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. :@0.514241:0.801918:0.532982:0.801918:0.532982:0.784782:0.514241:0.784782:0.000000:0.000000:0.000000 Encuentra:@0.542730:0.801918:0.623699:0.801918:0.623699:0.785017:0.542730:0.785017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el resultado usando la calculadora.:@0.623699:0.801918:0.879954:0.801918:0.879954:0.786248:0.623699:0.786248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542730:0.825637:0.561968:0.825637:0.561968:0.808501:0.542730:0.808501:0.000000:0.000000:0.000000 9! = :@0.571219:0.825637:0.603080:0.825637:0.603080:0.809967:0.571219:0.809967:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.542730:0.856658:0.563111:0.856658:0.563111:0.839523:0.542730:0.839523:0.000000:0.000000:0.000000 11! =:@0.571219:0.856658:0.608037:0.856658:0.608037:0.840989:0.571219:0.840989:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.542730:0.893959:0.560549:0.893959:0.560549:0.876823:0.542730:0.876823:0.000000:0.000000:0.000000 =:@0.601960:0.894712:0.612076:0.894712:0.612076:0.879139:0.601960:0.879139:0.000000 20!:@0.575313:0.885072:0.597813:0.885072:0.597813:0.869402:0.575313:0.869402:0.000000:0.000000:0.000000 15!:@0.575156:0.904525:0.596882:0.904525:0.596882:0.888855:0.575156:0.888855:0.000000:0.000000:0.000000 d) :@0.542738:0.936317:0.563230:0.936317:0.563230:0.919181:0.542738:0.919181:0.000000:0.000000:0.000000 −:@0.600338:0.947533:0.610455:0.947533:0.610455:0.931960:0.600338:0.931960:0.000000 =:@0.643993:0.937036:0.654110:0.937036:0.654110:0.921463:0.643993:0.921463:0.000000 9!:@0.600707:0.927396:0.614417:0.927396:0.614417:0.911726:0.600707:0.911726:0.000000:0.000000 (2319)!:@0.574889:0.946841:0.639847:0.946841:0.639847:0.931172:0.574889:0.931172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.096342:0.126040:0.115083:0.126040:0.115083:0.108904:0.096342:0.108904:0.000000:0.000000:0.000000 Escribe:@0.124831:0.126040:0.181902:0.126040:0.181902:0.109139:0.124831:0.109139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 frente a cada enunciado una V si es :@0.181902:0.126040:0.489756:0.126040:0.489756:0.110370:0.181902:0.110370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 verdadero o una F si es falso.:@0.124831:0.142636:0.333336:0.142636:0.333336:0.126967:0.124831:0.126967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 •:@0.124831:0.166355:0.131060:0.166355:0.131060:0.149220:0.124831:0.149220:0.000000 En una variación se toman en cuenta todos los :@0.144917:0.166355:0.489828:0.166355:0.489828:0.150686:0.144917:0.150686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485737:0.166355:0.489772:0.166355:0.489772:0.150686:0.485737:0.150686:0.000000 elementos. :@0.124831:0.182952:0.229904:0.182952:0.229904:0.167282:0.124831:0.167282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 •:@0.124831:0.206671:0.131060:0.206671:0.131060:0.189535:0.124831:0.189535:0.000000 En una combinación no importa el orden. :@0.144917:0.206671:0.459326:0.206671:0.459326:0.191001:0.144917:0.191001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 •:@0.124831:0.230390:0.131060:0.230390:0.131060:0.213254:0.124831:0.213254:0.000000 En una permutación se consideran todos los :@0.144917:0.230390:0.489807:0.230390:0.489807:0.214720:0.144917:0.214720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485737:0.230390:0.489772:0.230390:0.489772:0.214720:0.485737:0.214720:0.000000 elementos. :@0.124831:0.246986:0.229904:0.246986:0.229904:0.231316:0.124831:0.231316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 •:@0.124831:0.270705:0.131060:0.270705:0.131060:0.253569:0.124831:0.253569:0.000000 En una combinación entran todos los elemen- :@0.144917:0.270705:0.489772:0.270705:0.489772:0.255035:0.144917:0.255035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tos. :@0.124831:0.287301:0.173738:0.287301:0.173738:0.271632:0.124831:0.271632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.096342:0.311020:0.115083:0.311020:0.115083:0.293885:0.096342:0.293885:0.000000:0.000000:0.000000 Lee:@0.124831:0.311020:0.152731:0.311020:0.152731:0.294120:0.124831:0.294120:0.000000:0.000000:0.000000 cada enunciado y :@0.152731:0.311020:0.297719:0.311020:0.297719:0.295351:0.152731:0.295351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 selecciona:@0.300060:0.311020:0.382890:0.311020:0.382890:0.294120:0.300060:0.294120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la semejanza :@0.382890:0.311020:0.489770:0.311020:0.489770:0.295351:0.382890:0.295351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 correcta.:@0.124831:0.327617:0.188278:0.327617:0.188278:0.311947:0.124831:0.311947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124831:0.351336:0.144070:0.351336:0.144070:0.334200:0.124831:0.334200:0.000000:0.000000:0.000000 La semejanza entre variación y combinación::@0.153320:0.351336:0.481292:0.351336:0.481292:0.335666:0.153320:0.335666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.375055:0.100065:0.375055:0.100065:0.357919:0.096342:0.357919:0.000000 :@0.124835:0.375055:0.128557:0.375055:0.128557:0.357919:0.124835:0.357919:0.000000 • :@0.156656:0.375055:0.170329:0.375055:0.170329:0.357919:0.156656:0.357919:0.000000:0.000000:0.000000 No importa el orden:@0.170329:0.375055:0.319610:0.375055:0.319610:0.359385:0.170329:0.359385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.398774:0.100065:0.398774:0.100065:0.381638:0.096342:0.381638:0.000000 :@0.124835:0.398774:0.128557:0.398774:0.128557:0.381638:0.124835:0.381638:0.000000 • :@0.156656:0.398774:0.170329:0.398774:0.170329:0.381638:0.156656:0.381638:0.000000:0.000000:0.000000 Se consideran todos los elementos:@0.170329:0.398774:0.425933:0.398774:0.425933:0.383104:0.170329:0.383104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.422493:0.100065:0.422493:0.100065:0.405357:0.096342:0.405357:0.000000 :@0.124835:0.422493:0.128557:0.422493:0.128557:0.405357:0.124835:0.405357:0.000000 • :@0.156656:0.422493:0.170329:0.422493:0.170329:0.405357:0.156656:0.405357:0.000000:0.000000:0.000000 No entran todos los elementos:@0.170329:0.422493:0.396838:0.422493:0.396838:0.406823:0.170329:0.406823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.446212:0.100065:0.446212:0.100065:0.429076:0.096342:0.429076:0.000000 :@0.124835:0.446212:0.128557:0.446212:0.128557:0.429076:0.124835:0.429076:0.000000 • :@0.156656:0.446212:0.170329:0.446212:0.170329:0.429076:0.156656:0.429076:0.000000:0.000000:0.000000 Importa el orden:@0.170329:0.446212:0.294327:0.446212:0.294327:0.430542:0.170329:0.430542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.124831:0.469931:0.145212:0.469931:0.145212:0.452795:0.124831:0.452795:0.000000:0.000000:0.000000 La semejanza entre variación y permutación::@0.153320:0.469931:0.479523:0.469931:0.479523:0.454261:0.153320:0.454261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.493650:0.100065:0.493650:0.100065:0.476514:0.096342:0.476514:0.000000 :@0.124835:0.493650:0.128557:0.493650:0.128557:0.476514:0.124835:0.476514:0.000000 • :@0.156656:0.493650:0.170329:0.493650:0.170329:0.476514:0.156656:0.476514:0.000000:0.000000:0.000000 Importa el orden:@0.170329:0.493650:0.294327:0.493650:0.294327:0.477980:0.170329:0.477980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 •:@0.156656:0.517369:0.162884:0.517369:0.162884:0.500233:0.156656:0.500233:0.000000 No importa el orden:@0.166607:0.517369:0.315887:0.517369:0.315887:0.501699:0.166607:0.501699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.541088:0.100065:0.541088:0.100065:0.523952:0.096342:0.523952:0.000000 :@0.124835:0.541088:0.128557:0.541088:0.128557:0.523952:0.124835:0.523952:0.000000 • :@0.156656:0.541088:0.170329:0.541088:0.170329:0.523952:0.156656:0.523952:0.000000:0.000000:0.000000 Entran todos los elementos:@0.170329:0.541088:0.370892:0.541088:0.370892:0.525418:0.170329:0.525418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096342:0.564807:0.100065:0.564807:0.100065:0.547671:0.096342:0.547671:0.000000 :@0.124835:0.564807:0.128557:0.564807:0.128557:0.547671:0.124835:0.547671:0.000000 • :@0.156656:0.564807:0.170329:0.564807:0.170329:0.547671:0.156656:0.547671:0.000000:0.000000:0.000000 No entran todos los elementos:@0.170329:0.564807:0.396838:0.564807:0.396838:0.549137:0.170329:0.549137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.096342:0.588526:0.115083:0.588526:0.115083:0.571390:0.096342:0.571390:0.000000:0.000000:0.000000 Analiza:@0.124831:0.588526:0.183468:0.588526:0.183468:0.571625:0.124831:0.571625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cada situación. Luego, :@0.183468:0.588526:0.351325:0.588526:0.351325:0.572856:0.183468:0.572856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 identifícala:@0.350607:0.588526:0.439502:0.588526:0.439502:0.571625:0.350607:0.571625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como :@0.439502:0.588526:0.489772:0.588526:0.489772:0.572856:0.439502:0.572856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 varianza, permutación o combinación. :@0.124831:0.605122:0.418373:0.605122:0.418373:0.589452:0.124831:0.589452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Justifica:@0.421221:0.605122:0.485737:0.605122:0.485737:0.588221:0.421221:0.588221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485737:0.605122:0.489772:0.605122:0.489772:0.589452:0.485737:0.589452:0.000000 tu respuesta. :@0.124831:0.621718:0.222461:0.621718:0.222461:0.606049:0.124831:0.606049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124831:0.645437:0.144070:0.645437:0.144070:0.628302:0.124831:0.628302:0.000000:0.000000:0.000000 ¿De cuántas formas pueden sentarse 6 :@0.153320:0.645437:0.489791:0.645437:0.489791:0.629768:0.153320:0.629768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 personas en los últimos 6 asientos de un bus?:@0.153320:0.662034:0.485772:0.662034:0.485772:0.646364:0.153320:0.646364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.124831:0.700427:0.145212:0.700427:0.145212:0.683291:0.124831:0.683291:0.000000:0.000000:0.000000 En un salón de clase de 30 estudiantes se va :@0.153320:0.700427:0.489807:0.700427:0.489807:0.684757:0.153320:0.684757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a formar una comisión de 4 estudiantes. ¿De :@0.153320:0.717023:0.489807:0.717023:0.489807:0.701353:0.153320:0.701353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuántas formas se puede formar esa comisión?:@0.153320:0.733619:0.485772:0.733619:0.485772:0.717950:0.153320:0.717950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.124831:0.772012:0.142651:0.772012:0.142651:0.754877:0.124831:0.754877:0.000000:0.000000:0.000000 ¿Cuántos números distintos de 3 cifras :@0.153320:0.772012:0.489735:0.772012:0.489735:0.756343:0.153320:0.756343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diferentes se pueden formar con los dígitos 4, :@0.153320:0.788609:0.489770:0.788609:0.489770:0.772939:0.153320:0.772939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8 y 9?:@0.153320:0.805205:0.194506:0.805205:0.194506:0.789535:0.153320:0.789535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.124831:0.843598:0.145323:0.843598:0.145323:0.826462:0.124831:0.826462:0.000000:0.000000:0.000000 En un barrio se va a elegir el comité prome-:@0.153320:0.843598:0.485737:0.843598:0.485737:0.827928:0.153320:0.827928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 joras, que estará conformado por presiden-:@0.153320:0.860194:0.485718:0.860194:0.485718:0.844525:0.153320:0.844525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 te, vicepresidente, secretario, prosecretario :@0.153320:0.876791:0.489789:0.876791:0.489789:0.861121:0.153320:0.861121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485737:0.876791:0.489772:0.876791:0.489772:0.861121:0.485737:0.861121:0.000000 y dos vocales. ¿De cuántas formas puede :@0.153320:0.893387:0.489807:0.893387:0.489807:0.877717:0.153320:0.877717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 constituirse dicho comité?:@0.153320:0.909984:0.346569:0.909984:0.346569:0.894314:0.153320:0.894314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Permutación, porque importa el orden, entran todas las personas y no :@0.156905:0.675894:0.488348:0.675894:0.488348:0.665922:0.156905:0.665922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se repiten personas.:@0.156905:0.684695:0.249697:0.684695:0.249697:0.674723:0.156905:0.674723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sí importa el orden; no se toman todos los elementos; no se repiten :@0.571444:0.170191:0.902873:0.170191:0.902873:0.160219:0.571444:0.160219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los elementos. Entonces, la combinatoria corresponde a una variación.:@0.571444:0.178992:0.898965:0.178992:0.898965:0.169020:0.571444:0.169020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 No importa el orden; no se toman todos los elementos y no se repiten :@0.571444:0.258228:0.902849:0.258228:0.902849:0.248257:0.571444:0.248257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los elementos, entonces se trata de una combinación.:@0.571444:0.267029:0.822545:0.267029:0.822545:0.257058:0.571444:0.257058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sí importa el orden; no se toman todos los elementos; no se repiten :@0.571444:0.328162:0.902873:0.328162:0.902873:0.318190:0.571444:0.318190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los elementos. Entonces, la combinatoria corresponde a una variación.:@0.571444:0.336963:0.898965:0.336963:0.898965:0.326991:0.571444:0.326991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 362 880:@0.663404:0.824729:0.700308:0.824729:0.700308:0.814757:0.663404:0.814757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 39 916 800:@0.663404:0.857214:0.714321:0.857214:0.714321:0.847242:0.663404:0.847242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 860 480:@0.663404:0.893466:0.708599:0.893466:0.708599:0.883494:0.663404:0.883494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15 120:@0.663404:0.936010:0.694585:0.936010:0.694585:0.926039:0.663404:0.926039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12:@0.642671:0.728225:0.654117:0.728225:0.654117:0.718253:0.642671:0.718253:0.000000:0.000000 17 136:@0.681944:0.765947:0.713125:0.765947:0.713125:0.755975:0.681944:0.755975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Combinación, porque no importa el orden dentro de la comisión. De :@0.152156:0.744261:0.489795:0.744261:0.489795:0.734289:0.152156:0.734289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 30 elementos se toman 4 y una misma persona no puede repetirse en :@0.152156:0.751803:0.489744:0.751803:0.489744:0.741831:0.152156:0.741831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la comisión.:@0.152156:0.759346:0.207447:0.759346:0.207447:0.749374:0.152156:0.749374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Variación, porque un barrio tiene muchos habitantes de los cuales se :@0.156905:0.919447:0.488335:0.919447:0.488335:0.909475:0.156905:0.909475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escogerán seis habitantes. Importa el orden y ninguno de los elegidos :@0.156905:0.930008:0.488301:0.930008:0.488301:0.920036:0.156905:0.920036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 puede tener dos dignidades al mismo tiempo.:@0.156905:0.940569:0.362568:0.940569:0.362568:0.930598:0.156905:0.930598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 × 2 × 1 = 6 :@0.657811:0.375389:0.719645:0.375389:0.719645:0.365417:0.657811:0.365417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 × 4 × 3 × 2 × 1 = 120:@0.657811:0.399072:0.764218:0.399072:0.764218:0.389101:0.657811:0.389101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5 040:@0.657811:0.422756:0.808205:0.422756:0.808205:0.412784:0.657811:0.412784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40 320:@0.657811:0.446440:0.831776:0.446440:0.831776:0.436468:0.657811:0.436468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4! = 4 × 3 × 2 × 1 = 24:@0.657811:0.470124:0.760923:0.470124:0.760923:0.460152:0.657811:0.460152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6! = 720:@0.657811:0.493807:0.695254:0.493807:0.695254:0.483836:0.657811:0.483836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Combinación porque sí importa el orden.:@0.155229:0.818920:0.348013:0.818920:0.348013:0.808949:0.155229:0.808949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.470430:0.182169:0.475848:0.182169:0.475848:0.172197:0.470430:0.172197:0.000000 V:@0.470160:0.204304:0.476129:0.204304:0.476129:0.194332:0.470160:0.194332:0.000000 V:@0.470160:0.245299:0.476129:0.245299:0.476129:0.235328:0.470160:0.235328:0.000000 F:@0.470430:0.286295:0.475848:0.286295:0.475848:0.276323:0.470430:0.276323:0.000000 ×× ××:@0.700983:0.544702:0.751695:0.544702:0.751695:0.535241:0.700983:0.535241:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.763987:0.550146:0.770133:0.550146:0.770133:0.540686:0.763987:0.540686:0.000000 65 43 2!:@0.693863:0.544290:0.761480:0.544290:0.761480:0.534771:0.693863:0.534771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2!:@0.723500:0.556105:0.731605:0.556105:0.731605:0.546586:0.723500:0.546586:0.000000:0.000000 360:@0.772127:0.549732:0.788270:0.549732:0.788270:0.540212:0.772127:0.540212:0.000000:0.000000:0.000000 ×:@0.710344:0.586019:0.716490:0.586019:0.716490:0.576559:0.710344:0.576559:0.000000 ×:@0.729935:0.586019:0.736081:0.586019:0.736081:0.576559:0.729935:0.576559:0.000000 =:@0.753243:0.591464:0.759389:0.591464:0.759389:0.582003:0.753243:0.582003:0.000000 20 19 18!:@0.697873:0.585608:0.750724:0.585608:0.750724:0.576088:0.697873:0.576088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 18!:@0.717117:0.597422:0.730786:0.597422:0.730786:0.587903:0.717117:0.587903:0.000000:0.000000:0.000000 380:@0.761389:0.591049:0.777532:0.591049:0.777532:0.581530:0.761389:0.581530:0.000000:0.000000:0.000000 12! 12 11 1098!:@0.687730:0.635006:0.787049:0.635006:0.787049:0.625486:0.687730:0.625486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8!:@0.690625:0.646822:0.698954:0.646822:0.698954:0.637302:0.690625:0.637302:0.000000:0.000000 8!:@0.745390:0.646822:0.753719:0.646822:0.753719:0.637302:0.745390:0.637302:0.000000:0.000000 11 880:@0.796338:0.640184:0.826978:0.640184:0.826978:0.630665:0.796338:0.630665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.703466:0.640596:0.709612:0.640596:0.709612:0.631135:0.703466:0.631135:0.000000 ××:@0.722956:0.635420:0.745581:0.635420:0.745581:0.625960:0.722956:0.625960:0.000000:0.000000 ××:@0.757783:0.635420:0.777631:0.635420:0.777631:0.625960:0.757783:0.625960:0.000000:0.000000 =:@0.789330:0.640596:0.795476:0.640596:0.795476:0.631135:0.789330:0.631135:0.000000 ⋅:@0.700241:0.694717:0.703165:0.694717:0.703165:0.684834:0.700241:0.684834:0.000000 =:@0.714960:0.687786:0.721380:0.687786:0.721380:0.677903:0.714960:0.677903:0.000000 ×××:@0.735554:0.682379:0.770602:0.682379:0.770602:0.672496:0.735554:0.672496:0.000000:0.000000:0.000000 ××:@0.740142:0.694717:0.760654:0.694717:0.760654:0.684834:0.740142:0.684834:0.000000:0.000000 =:@0.782569:0.687786:0.788989:0.687786:0.788989:0.677903:0.782569:0.677903:0.000000 10!:@0.695059:0.681949:0.709338:0.681949:0.709338:0.672004:0.695059:0.672004:0.000000:0.000000:0.000000 3! 7!:@0.692567:0.694287:0.712564:0.694287:0.712564:0.684343:0.692567:0.684343:0.000000:0.000000:0.000000:0.000000:0.000000 1098 7!:@0.723198:0.681945:0.780174:0.681945:0.780174:0.672001:0.723198:0.672001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 327!:@0.733863:0.694287:0.770210:0.694287:0.770210:0.684343:0.733863:0.684343:0.000000:0.000000:0.000000:0.000000 120:@0.789878:0.687355:0.806741:0.687355:0.806741:0.677411:0.789878:0.677411:0.000000:0.000000:0.000000