274:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
Factorial de un número natural. :@0.404235:0.120539:0.814886:0.120539:0.814886:0.075879:0.404235:0.075879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Binomio de Newton:@0.404235:0.158258:0.645771:0.158258:0.645771:0.113598:0.404235:0.113598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.10. Calcular el factorial de un número natural y el coeficiente binomial para determinar el binomio de Newton.:@0.143128:0.952377:0.645142:0.952377:0.645142:0.942335:0.143128:0.942335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En esta sección definimos el :@0.404236:0.174603:0.604030:0.174603:0.604030:0.158106:0.404236:0.158106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorial:@0.604300:0.174820:0.663618:0.174820:0.663618:0.158106:0.604300:0.158106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de un número natural, así como :@0.663392:0.174603:0.895963:0.174603:0.895963:0.158106:0.663392:0.158106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el :@0.404236:0.191954:0.419687:0.191954:0.419687:0.175456:0.404236:0.175456:0.000000:0.000000:0.000000
coeficiente:@0.422943:0.192171:0.502027:0.192171:0.502027:0.175456:0.422943:0.175456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  binomial,  los  cuales  aparecen en  muchas  áreas de la :@0.501834:0.191954:0.895941:0.191954:0.895941:0.175456:0.501834:0.175456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891782:0.191954:0.895924:0.191954:0.895924:0.175456:0.891782:0.175456:0.000000
matemática. :@0.404255:0.209305:0.494184:0.209305:0.494184:0.192807:0.404255:0.192807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404255:0.236170:0.484339:0.236170:0.484339:0.219224:0.404255:0.219224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.484341:0.235707:0.491045:0.235707:0.491045:0.219209:0.484341:0.219209:0.000000:0.000000
Sea   :@0.493918:0.235387:0.534692:0.235387:0.534692:0.220324:0.493918:0.220324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.522362:0.235493:0.530910:0.235493:0.530910:0.220456:0.522362:0.220456:0.000000
∈ :@0.537331:0.235889:0.554270:0.235889:0.554270:0.218687:0.537331:0.218687:0.000000:0.000000
N:@0.557348:0.234503:0.571033:0.234503:0.571033:0.222225:0.557348:0.222225:0.000000
. El factorial de   se designa con   y se define :@0.571033:0.235387:0.895551:0.235387:0.895551:0.220324:0.571033:0.220324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.678965:0.235493:0.687514:0.235493:0.687514:0.220456:0.678965:0.220456:0.000000
n!:@0.799946:0.235493:0.811221:0.235493:0.811221:0.220456:0.799946:0.220456:0.000000:0.000000
como sigue::@0.404227:0.254253:0.481412:0.254253:0.481412:0.239190:0.404227:0.239190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.563009:0.265883:0.567151:0.265883:0.567151:0.249386:0.563009:0.249386:0.000000
0! =1,:@0.576347:0.269668:0.614604:0.269668:0.614604:0.252996:0.576347:0.252996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.575899:0.291206:0.585361:0.291206:0.585361:0.274563:0.575899:0.274563:0.000000
! =:@0.585205:0.291089:0.602105:0.291089:0.602105:0.274417:0.585205:0.274417:0.000000:0.000000:0.000000
n:@0.611236:0.291206:0.620698:0.291206:0.620698:0.274563:0.611236:0.274563:0.000000
1 !:@0.634119:0.291086:0.651661:0.291086:0.651661:0.274414:0.634119:0.274414:0.000000:0.000000:0.000000
(:@0.604493:0.294795:0.610976:0.294795:0.610976:0.273077:0.604493:0.273077:0.000000
):@0.641309:0.294795:0.647792:0.294795:0.647792:0.273077:0.641309:0.273077:0.000000
n:@0.665862:0.291203:0.675324:0.291203:0.675324:0.274560:0.665862:0.274560:0.000000
, si:@0.676278:0.291086:0.693449:0.291086:0.693449:0.274414:0.676278:0.274414:0.000000:0.000000:0.000000:0.000000
n:@0.696487:0.291203:0.705949:0.291203:0.705949:0.274560:0.696487:0.274560:0.000000
1.:@0.721059:0.291086:0.732360:0.291086:0.732360:0.274414:0.721059:0.274414:0.000000:0.000000
De la definición del factorial de  , se tiene 0! = 1, :@0.404236:0.314502:0.749928:0.314502:0.749928:0.298004:0.404236:0.298004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.629366:0.314618:0.638729:0.314618:0.638729:0.298149:0.629366:0.298149:0.000000
 :@0.404236:0.436593:0.408378:0.436593:0.408378:0.420096:0.404236:0.420096:0.000000
1! =1 1! 1= 0! 1=11=1,:@0.410212:0.337424:0.622379:0.337424:0.622379:0.320426:0.410212:0.320426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2! =2 1! 2=1! 2=12 =2,:@0.411026:0.360216:0.634209:0.360216:0.634209:0.343219:0.411026:0.343219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3! =3 1! 3=2! 3=12 3= 6,:@0.411026:0.383009:0.655705:0.383009:0.655705:0.366011:0.411026:0.366011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4! =4 1! 4=3! 4=1 234 =24,:@0.411442:0.405801:0.689389:0.405801:0.689389:0.388804:0.411442:0.388804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.439177:0.341206:0.445786:0.341206:0.445786:0.319064:0.439177:0.319064:0.000000
):@0.473436:0.341206:0.480046:0.341206:0.480046:0.319064:0.473436:0.319064:0.000000
(:@0.439990:0.363996:0.446600:0.363996:0.446600:0.341854:0.439990:0.341854:0.000000
):@0.477108:0.363996:0.483718:0.363996:0.483718:0.341854:0.477108:0.341854:0.000000
(:@0.439990:0.386787:0.446600:0.386787:0.446600:0.364645:0.439990:0.364645:0.000000
):@0.476672:0.386787:0.483281:0.386787:0.483281:0.364645:0.476672:0.364645:0.000000
(:@0.440427:0.409578:0.447037:0.409578:0.447037:0.387436:0.440427:0.387436:0.000000
):@0.477962:0.409578:0.484571:0.409578:0.484571:0.387436:0.477962:0.387436:0.000000
−:@0.454225:0.338079:0.465122:0.338079:0.465122:0.321305:0.454225:0.321305:0.000000
−:@0.457897:0.360872:0.468795:0.360872:0.468795:0.344098:0.457897:0.344098:0.000000
−:@0.457461:0.383664:0.468358:0.383664:0.468358:0.366890:0.457461:0.366890:0.000000
−:@0.458751:0.406457:0.469648:0.406457:0.469648:0.389683:0.458751:0.389683:0.000000
×:@0.488961:0.336530:0.496068:0.336530:0.496068:0.325590:0.488961:0.325590:0.000000
×:@0.537506:0.336530:0.544612:0.336530:0.544612:0.325590:0.537506:0.325590:0.000000
×:@0.579849:0.336530:0.586956:0.336530:0.586956:0.325590:0.579849:0.325590:0.000000
×:@0.492638:0.359322:0.499745:0.359322:0.499745:0.348383:0.492638:0.348383:0.000000
×:@0.542800:0.359322:0.549907:0.359322:0.549907:0.348383:0.542800:0.348383:0.000000
×:@0.588004:0.359322:0.595111:0.359322:0.595111:0.348383:0.588004:0.348383:0.000000
×:@0.492211:0.382115:0.499317:0.382115:0.499317:0.371175:0.492211:0.371175:0.000000
×:@0.542748:0.382115:0.549855:0.382115:0.549855:0.371175:0.542748:0.371175:0.000000
×:@0.587512:0.382115:0.594619:0.382115:0.594619:0.371175:0.587512:0.371175:0.000000
×:@0.609519:0.382115:0.616626:0.382115:0.616626:0.371175:0.609519:0.371175:0.000000
×:@0.493505:0.404908:0.500612:0.404908:0.500612:0.393968:0.493505:0.393968:0.000000
×:@0.544910:0.404908:0.552017:0.404908:0.552017:0.393968:0.544910:0.393968:0.000000
×:@0.590541:0.404908:0.597648:0.404908:0.597648:0.393968:0.590541:0.393968:0.000000
×:@0.612548:0.404908:0.619655:0.404908:0.619655:0.393968:0.612548:0.393968:0.000000
×:@0.634127:0.404908:0.641234:0.404908:0.641234:0.393968:0.634127:0.393968:0.000000
n:@0.410944:0.430015:0.420307:0.430015:0.420307:0.413546:0.410944:0.413546:0.000000
n:@0.446546:0.430015:0.455909:0.430015:0.455909:0.413546:0.446546:0.413546:0.000000
n:@0.499737:0.430015:0.509100:0.430015:0.509100:0.413546:0.499737:0.413546:0.000000
n:@0.532142:0.430015:0.541504:0.430015:0.541504:0.413546:0.532142:0.413546:0.000000
n:@0.594811:0.430015:0.604174:0.430015:0.604174:0.413546:0.594811:0.413546:0.000000
n:@0.643495:0.430015:0.652858:0.430015:0.652858:0.413546:0.643495:0.413546:0.000000
n:@0.777664:0.430015:0.787027:0.430015:0.787027:0.413546:0.777664:0.413546:0.000000
n:@0.826347:0.430015:0.835710:0.430015:0.835710:0.413546:0.826347:0.413546:0.000000
!=:@0.420158:0.429899:0.437188:0.429899:0.437188:0.413402:0.420158:0.413402:0.000000:0.000000
1!:@0.469149:0.429899:0.486873:0.429899:0.486873:0.413402:0.469149:0.413402:0.000000:0.000000
=:@0.511976:0.429899:0.522784:0.429899:0.522784:0.413402:0.511976:0.413402:0.000000
2 !:@0.555535:0.429899:0.575243:0.429899:0.575243:0.413402:0.555535:0.413402:0.000000:0.000000:0.000000
1:@0.617415:0.429899:0.625911:0.429899:0.625911:0.413402:0.617415:0.413402:0.000000
=:@0.655733:0.429899:0.666541:0.429899:0.666541:0.413402:0.655733:0.413402:0.000000
=12:@0.688619:0.429899:0.729134:0.429899:0.729134:0.413402:0.688619:0.413402:0.000000:0.000000:0.000000
1:@0.800280:0.429899:0.808776:0.429899:0.808776:0.413402:0.800280:0.413402:0.000000
.:@0.835940:0.429899:0.838695:0.429899:0.838695:0.413402:0.835940:0.413402:0.000000
(:@0.439842:0.433570:0.446257:0.433570:0.446257:0.412079:0.439842:0.412079:0.000000
):@0.476272:0.433570:0.482688:0.433570:0.482688:0.412079:0.476272:0.412079:0.000000
(:@0.525437:0.433570:0.531853:0.433570:0.531853:0.412079:0.525437:0.412079:0.000000
) (:@0.564642:0.433570:0.594522:0.433570:0.594522:0.412079:0.564642:0.412079:0.000000:0.000000:0.000000
):@0.624538:0.433570:0.630953:0.433570:0.630953:0.412079:0.624538:0.412079:0.000000
(:@0.770973:0.433570:0.777388:0.433570:0.777388:0.412079:0.770973:0.412079:0.000000
):@0.807404:0.433570:0.813819:0.433570:0.813819:0.412079:0.807404:0.412079:0.000000
−:@0.457641:0.430536:0.468218:0.430536:0.468218:0.414255:0.457641:0.414255:0.000000
−:@0.543237:0.430536:0.553813:0.430536:0.553813:0.414255:0.543237:0.414255:0.000000
−:@0.605900:0.430536:0.616476:0.430536:0.616476:0.414255:0.605900:0.414255:0.000000
−:@0.788766:0.430536:0.799342:0.430536:0.799342:0.414255:0.788766:0.414255:0.000000
×:@0.491355:0.429032:0.498253:0.429032:0.498253:0.418414:0.491355:0.418414:0.000000
×:@0.579720:0.429032:0.586618:0.429032:0.586618:0.418414:0.579720:0.418414:0.000000
×:@0.635116:0.429032:0.642014:0.429032:0.642014:0.418414:0.635116:0.418414:0.000000
×:@0.712286:0.429032:0.719184:0.429032:0.719184:0.418414:0.712286:0.418414:0.000000
×:@0.733645:0.429032:0.740543:0.429032:0.740543:0.418414:0.733645:0.418414:0.000000
×:@0.762593:0.429032:0.769491:0.429032:0.769491:0.418414:0.762593:0.418414:0.000000
×:@0.817989:0.429032:0.824887:0.429032:0.824887:0.418414:0.817989:0.418414:0.000000
Observemos que si :@0.404236:0.453945:0.540187:0.453945:0.540187:0.437448:0.404236:0.437448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n :@0.539536:0.454061:0.552848:0.454061:0.552848:0.437592:0.539536:0.437592:0.000000:0.000000
≤ :@0.552213:0.454495:0.567413:0.454495:0.567413:0.435655:0.552213:0.435655:0.000000:0.000000
1,  = 1   2   . . .  . Además, si 1<  <   entonces,:@0.566700:0.453945:0.891819:0.453945:0.891819:0.437448:0.566700:0.437448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n! :@0.581072:0.454061:0.597178:0.454061:0.597178:0.437592:0.581072:0.437592:0.000000:0.000000:0.000000
×:@0.622428:0.452317:0.630705:0.452317:0.630705:0.437572:0.622428:0.437572:0.000000
×:@0.645853:0.452317:0.654130:0.452317:0.654130:0.437572:0.645853:0.437572:0.000000
n:@0.673900:0.454061:0.683262:0.454061:0.683262:0.437592:0.673900:0.437592:0.000000
k n,:@0.788451:0.454061:0.822338:0.454061:0.822338:0.437592:0.788451:0.437592:0.000000:0.000000:0.000000:0.000000
×:@0.608654:0.471723:0.619474:0.471723:0.619474:0.455067:0.608654:0.455067:0.000000
+:@0.690762:0.471723:0.701583:0.471723:0.701583:0.455067:0.690762:0.455067:0.000000
+:@0.748609:0.471723:0.759429:0.471723:0.759429:0.455067:0.748609:0.455067:0.000000
××:@0.504538:0.470569:0.534606:0.470569:0.534606:0.458258:0.504538:0.458258:0.000000:0.000000
××:@0.556443:0.470569:0.586933:0.470569:0.586933:0.458258:0.556443:0.458258:0.000000:0.000000
×:@0.662700:0.470569:0.670697:0.470569:0.670697:0.458258:0.662700:0.458258:0.000000
×:@0.720548:0.470569:0.728546:0.470569:0.728546:0.458258:0.720548:0.458258:0.000000
×:@0.779180:0.470569:0.787178:0.470569:0.787178:0.458258:0.779180:0.458258:0.000000
×:@0.809015:0.470569:0.817012:0.470569:0.817012:0.458258:0.809015:0.458258:0.000000
n:@0.466351:0.471190:0.475929:0.471190:0.475929:0.454342:0.466351:0.454342:0.000000
k:@0.567459:0.471190:0.575894:0.471190:0.575894:0.454342:0.567459:0.454342:0.000000
nk:@0.622034:0.471190:0.657195:0.471190:0.657195:0.454342:0.622034:0.454342:0.000000:0.000000
k:@0.679387:0.471190:0.687823:0.471190:0.687823:0.454342:0.679387:0.454342:0.000000
k:@0.737234:0.471190:0.745669:0.471190:0.745669:0.454342:0.737234:0.454342:0.000000
n:@0.819599:0.471190:0.829177:0.471190:0.829177:0.454342:0.819599:0.454342:0.000000
!=12:@0.475752:0.471072:0.523803:0.471072:0.523803:0.454194:0.475752:0.454194:0.000000:0.000000:0.000000:0.000000
=! (:@0.634549:0.471072:0.679368:0.471072:0.679368:0.454194:0.634549:0.454194:0.000000:0.000000:0.000000:0.000000
1)(:@0.703334:0.471072:0.737214:0.471072:0.737214:0.454194:0.703334:0.454194:0.000000:0.000000:0.000000
2):@0.761969:0.471072:0.776672:0.471072:0.776672:0.454194:0.761969:0.454194:0.000000:0.000000
.:@0.829394:0.471072:0.832213:0.471072:0.832213:0.454194:0.829394:0.454194:0.000000
 :@0.833955:0.476954:0.838097:0.476954:0.838097:0.460456:0.833955:0.460456:0.000000
Ejercicio resuelto :@0.404244:0.499958:0.526538:0.499958:0.526538:0.483171:0.404244:0.483171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404244:0.525435:0.418654:0.525435:0.418654:0.508243:0.404244:0.508243:0.000000:0.000000
  :@0.418654:0.525189:0.426707:0.525189:0.426707:0.508243:0.418654:0.508243:0.000000:0.000000
Calculamos :@0.427979:0.524726:0.514730:0.524726:0.514730:0.508229:0.427979:0.508229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10!:@0.518029:0.515852:0.537775:0.515852:0.537775:0.499355:0.518029:0.499355:0.000000:0.000000:0.000000
5!:@0.522426:0.536126:0.533754:0.536126:0.533754:0.519629:0.522426:0.519629:0.000000:0.000000
.:@0.541063:0.524731:0.543818:0.524731:0.543818:0.508234:0.541063:0.508234:0.000000
Tenemos:@0.427971:0.553442:0.492643:0.553442:0.492643:0.536944:0.427971:0.536944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.731995:0.558890:0.738919:0.558890:0.738919:0.535697:0.731995:0.535697:0.000000
):@0.846118:0.558890:0.853042:0.558890:0.853042:0.535697:0.846118:0.535697:0.000000
××:@0.546570:0.554398:0.576982:0.554398:0.576982:0.541411:0.546570:0.541411:0.000000:0.000000
×× ×:@0.598711:0.554398:0.650654:0.554398:0.650654:0.541411:0.598711:0.541411:0.000000:0.000000:0.000000:0.000000
×:@0.672383:0.554398:0.680820:0.554398:0.680820:0.541411:0.672383:0.541411:0.000000
××× ×:@0.751095:0.554398:0.825919:0.554398:0.825919:0.541411:0.751095:0.541411:0.000000:0.000000:0.000000:0.000000:0.000000
10! =1 2:@0.498715:0.554928:0.566286:0.554928:0.566286:0.537124:0.498715:0.537124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 6:@0.608804:0.554928:0.639949:0.554928:0.639949:0.537124:0.608804:0.537124:0.000000:0.000000:0.000000
10=5! 678 910.:@0.682073:0.554928:0.857851:0.554928:0.857851:0.537124:0.682073:0.537124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego,:@0.427971:0.581103:0.473938:0.581103:0.473938:0.564605:0.427971:0.564605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.534590:0.578149:0.541184:0.578149:0.541184:0.555557:0.534590:0.555557:0.000000
):@0.649110:0.578149:0.655704:0.578149:0.655704:0.555557:0.649110:0.555557:0.000000
××× ×:@0.553855:0.574627:0.628840:0.574627:0.628840:0.562258:0.553855:0.562258:0.000000:0.000000:0.000000:0.000000:0.000000
××× ×:@0.685704:0.585206:0.760689:0.585206:0.760689:0.572837:0.685704:0.572837:0.000000:0.000000:0.000000:0.000000:0.000000
10!:@0.481478:0.576102:0.501776:0.576102:0.501776:0.559144:0.481478:0.559144:0.000000:0.000000:0.000000
5!:@0.485998:0.597022:0.497642:0.597022:0.497642:0.580064:0.485998:0.580064:0.000000:0.000000
=:@0.506769:0.585714:0.517879:0.585714:0.517879:0.568756:0.506769:0.568756:0.000000
5! 678 910:@0.521720:0.575132:0.648023:0.575132:0.648023:0.558174:0.521720:0.558174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5!:@0.582483:0.597022:0.594127:0.597022:0.594127:0.580064:0.582483:0.580064:0.000000:0.000000
= 678 910=30240.:@0.659920:0.585714:0.844957:0.585714:0.844957:0.568756:0.659920:0.568756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404236:0.613376:0.408378:0.613376:0.408378:0.596878:0.404236:0.596878:0.000000
De manera general, si :@0.427971:0.613376:0.582825:0.613376:0.582825:0.596878:0.427971:0.596878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n :@0.582825:0.613492:0.596330:0.613492:0.596330:0.597023:0.582825:0.597023:0.000000:0.000000
∈ :@0.596330:0.613926:0.614882:0.613926:0.614882:0.595086:0.596330:0.595086:0.000000:0.000000
N:@0.614882:0.612407:0.629871:0.612407:0.629871:0.598961:0.614882:0.598961:0.000000
 con :@0.629871:0.613376:0.665107:0.613376:0.665107:0.596878:0.629871:0.596878:0.000000:0.000000:0.000000:0.000000:0.000000
n :@0.665107:0.613492:0.678612:0.613492:0.678612:0.597023:0.665107:0.597023:0.000000:0.000000
≥:@0.678612:0.613926:0.689189:0.613926:0.689189:0.595086:0.678612:0.595086:0.000000
1, se tiene   :@0.689189:0.613376:0.770224:0.613376:0.770224:0.596878:0.689189:0.596878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.826396:0.613376:0.830538:0.613376:0.830538:0.596878:0.826396:0.596878:0.000000
( ):@0.428839:0.642510:0.461687:0.642510:0.461687:0.620110:0.428839:0.620110:0.000000:0.000000:0.000000
(:@0.578550:0.642510:0.585089:0.642510:0.585089:0.620110:0.578550:0.620110:0.000000
):@0.617760:0.642510:0.624298:0.642510:0.624298:0.620110:0.617760:0.620110:0.000000
( ):@0.666159:0.642510:0.699007:0.642510:0.699007:0.620110:0.666159:0.620110:0.000000:0.000000:0.000000
(:@0.731992:0.642510:0.738531:0.642510:0.738531:0.620110:0.731992:0.620110:0.000000
):@0.771202:0.642510:0.777740:0.642510:0.777740:0.620110:0.771202:0.620110:0.000000
( ):@0.819601:0.642510:0.852449:0.642510:0.852449:0.620110:0.819601:0.620110:0.000000:0.000000:0.000000
(:@0.427291:0.681952:0.433829:0.681952:0.433829:0.659552:0.427291:0.659552:0.000000
):@0.466500:0.681952:0.473039:0.681952:0.473039:0.659552:0.466500:0.659552:0.000000
( ):@0.514899:0.681952:0.547747:0.681952:0.547747:0.659552:0.514899:0.659552:0.000000:0.000000:0.000000
+:@0.597545:0.640167:0.608325:0.640167:0.608325:0.623574:0.597545:0.623574:0.000000
+:@0.750988:0.640167:0.761767:0.640167:0.761767:0.623574:0.750988:0.623574:0.000000
+:@0.446286:0.679609:0.457066:0.679609:0.457066:0.663017:0.446286:0.663017:0.000000
××:@0.494304:0.639017:0.524257:0.639017:0.524257:0.626753:0.494304:0.626753:0.000000:0.000000
××:@0.546011:0.639017:0.576385:0.639017:0.576385:0.626753:0.546011:0.626753:0.000000:0.000000
×:@0.626307:0.639017:0.634275:0.639017:0.634275:0.626753:0.626307:0.626753:0.000000
×:@0.656028:0.639017:0.663996:0.639017:0.663996:0.626753:0.656028:0.626753:0.000000
×:@0.779760:0.639017:0.787727:0.639017:0.787727:0.626753:0.779760:0.626753:0.000000
×:@0.809481:0.639017:0.817448:0.639017:0.817448:0.626753:0.809481:0.626753:0.000000
×:@0.475060:0.678456:0.483028:0.678456:0.483028:0.666192:0.475060:0.666192:0.000000
×:@0.504782:0.678456:0.512749:0.678456:0.512749:0.666192:0.504782:0.666192:0.000000
n:@0.445005:0.639636:0.454547:0.639636:0.454547:0.622852:0.445005:0.622852:0.000000
n:@0.441215:0.661342:0.450758:0.661342:0.450758:0.644558:0.441215:0.644558:0.000000
n:@0.556567:0.639636:0.566109:0.639636:0.566109:0.622852:0.556567:0.622852:0.000000
n:@0.585803:0.639636:0.595345:0.639636:0.595345:0.622852:0.585803:0.622852:0.000000
n:@0.682325:0.639636:0.691867:0.639636:0.691867:0.622852:0.682325:0.622852:0.000000
n:@0.585803:0.661342:0.595345:0.661342:0.595345:0.644558:0.585803:0.644558:0.000000
nn:@0.718432:0.639636:0.748787:0.639636:0.748787:0.622852:0.718432:0.622852:0.000000:0.000000
n:@0.835767:0.639636:0.845309:0.639636:0.845309:0.622852:0.835767:0.622852:0.000000
n:@0.778886:0.661342:0.788429:0.661342:0.788429:0.644558:0.778886:0.644558:0.000000
n:@0.434540:0.679084:0.444082:0.679084:0.444082:0.662300:0.434540:0.662300:0.000000
n:@0.531062:0.679084:0.540604:0.679084:0.540604:0.662300:0.531062:0.662300:0.000000
2! 12:@0.436091:0.639518:0.513509:0.639518:0.513509:0.622704:0.436091:0.622704:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.450601:0.661224:0.453565:0.661224:0.453565:0.644411:0.450601:0.644411:0.000000
=:@0.470451:0.650010:0.481466:0.650010:0.481466:0.633197:0.470451:0.633197:0.000000
1:@0.610071:0.639518:0.618729:0.639518:0.618729:0.622704:0.610071:0.622704:0.000000
2:@0.673411:0.639518:0.682069:0.639518:0.682069:0.622704:0.673411:0.622704:0.000000
!:@0.595188:0.661224:0.598152:0.661224:0.598152:0.644411:0.595188:0.644411:0.000000
=:@0.703176:0.650010:0.714191:0.650010:0.714191:0.633197:0.703176:0.633197:0.000000
!:@0.727817:0.639518:0.730782:0.639518:0.730782:0.622704:0.727817:0.622704:0.000000
1:@0.763513:0.639518:0.772171:0.639518:0.772171:0.622704:0.763513:0.622704:0.000000
2:@0.826833:0.639518:0.835492:0.639518:0.835492:0.622704:0.826833:0.622704:0.000000
!:@0.788252:0.661224:0.791217:0.661224:0.791217:0.644411:0.788252:0.644411:0.000000
=:@0.856599:0.650010:0.867614:0.650010:0.867614:0.633197:0.856599:0.633197:0.000000
1:@0.458788:0.678966:0.467447:0.678966:0.467447:0.662153:0.458788:0.662153:0.000000
2 .:@0.522128:0.678966:0.551815:0.678966:0.551815:0.662153:0.522128:0.662153:0.000000:0.000000:0.000000
Definición:@0.404236:0.709951:0.484320:0.709951:0.484320:0.693005:0.404236:0.693005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.484322:0.709488:0.491026:0.709488:0.491026:0.692990:0.484322:0.692990:0.000000:0.000000
Sean  , :@0.491024:0.709167:0.539361:0.709167:0.539361:0.694104:0.491024:0.694104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k n :@0.525535:0.709273:0.551692:0.709273:0.551692:0.694236:0.525535:0.694236:0.000000:0.000000:0.000000:0.000000
∈ :@0.551692:0.709669:0.568631:0.709669:0.568631:0.692467:0.551692:0.692467:0.000000:0.000000
N:@0.568631:0.708283:0.582316:0.708283:0.582316:0.696005:0.568631:0.696005:0.000000
, tales que 0   :@0.582316:0.709167:0.675453:0.709167:0.675453:0.694104:0.582316:0.694104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ ≤:@0.662014:0.709669:0.696421:0.709669:0.696421:0.692467:0.662014:0.692467:0.000000:0.000000:0.000000
k  n.  coeficiente binomial :@0.675453:0.709273:0.859318:0.709273:0.859318:0.694236:0.675453:0.694236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  El :@0.696421:0.709167:0.729666:0.709167:0.729666:0.694104:0.696421:0.694104:0.000000:0.000000:0.000000:0.000000:0.000000
se denota :@0.404235:0.741234:0.471726:0.741234:0.471726:0.726171:0.404235:0.726171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.477605:0.732869:0.486968:0.732869:0.486968:0.716400:0.477605:0.716400:0.000000
k:@0.478164:0.749207:0.486409:0.749207:0.486409:0.732739:0.478164:0.732739:0.000000
  y se define como  :@0.493071:0.741234:0.618945:0.741234:0.618945:0.726171:0.493071:0.726171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.624820:0.732869:0.634183:0.732869:0.634183:0.716400:0.624820:0.716400:0.000000
k:@0.625379:0.749207:0.633624:0.749207:0.633624:0.732739:0.625379:0.732739:0.000000
 = :@0.640284:0.741234:0.657716:0.741234:0.657716:0.726171:0.640284:0.726171:0.000000:0.000000:0.000000
n:@0.625495:0.731177:0.634624:0.731177:0.634624:0.715120:0.625495:0.715120:0.000000
k:@0.625908:0.749490:0.633948:0.749490:0.633948:0.733433:0.625908:0.733433:0.000000
n:@0.692258:0.731024:0.701387:0.731024:0.701387:0.714967:0.692258:0.714967:0.000000
k:@0.659800:0.750873:0.667840:0.750873:0.667840:0.734816:0.659800:0.734816:0.000000
n k:@0.694456:0.750873:0.725731:0.750873:0.725731:0.734816:0.694456:0.734816:0.000000:0.000000:0.000000
=:@0.644789:0.739608:0.655326:0.739608:0.655326:0.723522:0.644789:0.723522:0.000000
!:@0.701243:0.730911:0.704079:0.730911:0.704079:0.714826:0.701243:0.714826:0.000000
!:@0.667606:0.750755:0.670442:0.750755:0.670442:0.734670:0.667606:0.734670:0.000000
!:@0.734062:0.750755:0.736898:0.750755:0.736898:0.734670:0.734062:0.734670:0.000000
.:@0.740341:0.739608:0.743027:0.739608:0.743027:0.723522:0.740341:0.723522:0.000000
(:@0.687920:0.754333:0.694175:0.754333:0.694175:0.733380:0.687920:0.733380:0.000000
):@0.726557:0.754333:0.732813:0.754333:0.732813:0.733380:0.726557:0.733380:0.000000
−:@0.705275:0.751375:0.715587:0.751375:0.715587:0.735501:0.705275:0.735501:0.000000
×:@0.674496:0.751009:0.683911:0.751009:0.683911:0.736515:0.674496:0.736515:0.000000
Ejercicios resueltos:@0.404236:0.773363:0.534891:0.773363:0.534891:0.756576:0.404236:0.756576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  :@0.404236:0.801355:0.427393:0.801355:0.427393:0.784164:0.404236:0.784164:0.000000:0.000000:0.000000:0.000000
Calculamos :@0.427971:0.800647:0.514722:0.800647:0.514722:0.784149:0.427971:0.784149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.521041:0.793104:0.529537:0.793104:0.529537:0.776606:0.521041:0.776606:0.000000
0:@0.521041:0.809442:0.529537:0.809442:0.529537:0.792945:0.521041:0.792945:0.000000
. Tomando en consideración que 0! = 1, se tiene:  :@0.536067:0.800637:0.883994:0.800637:0.883994:0.784139:0.536067:0.784139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404235:0.827675:0.408377:0.827675:0.408377:0.811177:0.404235:0.811177:0.000000
0:@0.567773:0.820141:0.576269:0.820141:0.576269:0.803643:0.567773:0.803643:0.000000
0:@0.567773:0.836479:0.576269:0.836479:0.576269:0.819982:0.567773:0.819982:0.000000
 = :@0.582800:0.827674:0.601892:0.827674:0.601892:0.811176:0.582800:0.811176:0.000000:0.000000:0.000000
0:@0.569065:0.816994:0.577284:0.816994:0.577284:0.801033:0.569065:0.801033:0.000000
0:@0.569065:0.835166:0.577284:0.835166:0.577284:0.819205:0.569065:0.819205:0.000000
=:@0.587797:0.825472:0.598253:0.825472:0.598253:0.809510:0.587797:0.809510:0.000000
0!:@0.635661:0.816840:0.646620:0.816840:0.646620:0.800879:0.635661:0.800879:0.000000:0.000000
0!:@0.602695:0.836533:0.613655:0.836533:0.613655:0.820572:0.602695:0.820572:0.000000:0.000000
00 ! 11:@0.637904:0.836533:0.729124:0.836533:0.729124:0.820572:0.637904:0.820572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.684295:0.825468:0.694752:0.825468:0.694752:0.809507:0.684295:0.809507:0.000000
1:@0.709462:0.816842:0.717681:0.816842:0.717681:0.800881:0.709462:0.800881:0.000000
=1.:@0.731902:0.825468:0.754976:0.825468:0.754976:0.809507:0.731902:0.809507:0.000000:0.000000:0.000000
(:@0.631007:0.840084:0.637213:0.840084:0.637213:0.819292:0.631007:0.819292:0.000000
):@0.669347:0.840084:0.675553:0.840084:0.675553:0.819292:0.669347:0.819292:0.000000
−:@0.648228:0.837148:0.658461:0.837148:0.658461:0.821397:0.648228:0.821397:0.000000
×:@0.617687:0.836785:0.627030:0.836785:0.627030:0.822403:0.617687:0.822403:0.000000
×:@0.708341:0.836785:0.717684:0.836785:0.717684:0.822403:0.708341:0.822403:0.000000
2. :@0.404236:0.861716:0.423020:0.861716:0.423020:0.844525:0.404236:0.844525:0.000000:0.000000:0.000000
 :@0.423020:0.861471:0.427046:0.861471:0.427046:0.844525:0.423020:0.844525:0.000000
Calculamos :@0.427971:0.861008:0.514722:0.861008:0.514722:0.844510:0.427971:0.844510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.521041:0.854721:0.529537:0.854721:0.529537:0.838224:0.521041:0.838224:0.000000
3:@0.521041:0.871060:0.529537:0.871060:0.529537:0.854562:0.521041:0.854562:0.000000
. Tenemos  = 3 y   = 5. Luego, :@0.536067:0.860997:0.761816:0.860997:0.761816:0.844499:0.536067:0.844499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k :@0.611778:0.861112:0.624166:0.861112:0.624166:0.844643:0.611778:0.844643:0.000000:0.000000
n :@0.667859:0.861112:0.681364:0.861112:0.681364:0.844643:0.667859:0.844643:0.000000:0.000000
k   n:@0.761816:0.861112:0.798285:0.861112:0.798285:0.844643:0.761816:0.844643:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.774203:0.861546:0.784780:0.861546:0.784780:0.842706:0.774203:0.842706:0.000000
.:@0.798285:0.860997:0.801040:0.860997:0.801040:0.844499:0.798285:0.844499:0.000000
 :@0.404235:0.887196:0.408377:0.887196:0.408377:0.870699:0.404235:0.870699:0.000000
De la definición del coeficiente binomial obtenemos::@0.427970:0.887196:0.802909:0.887196:0.802909:0.870699:0.427970:0.870699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404235:0.939118:0.408377:0.939118:0.408377:0.922621:0.404235:0.922621:0.000000
5:@0.414690:0.911468:0.423186:0.911468:0.423186:0.894971:0.414690:0.894971:0.000000
3:@0.414690:0.927807:0.423186:0.927807:0.423186:0.911309:0.414690:0.911309:0.000000
 :@0.429717:0.939128:0.433859:0.939128:0.433859:0.922631:0.429717:0.922631:0.000000
5:@0.405499:0.909698:0.414096:0.909698:0.414096:0.893005:0.405499:0.893005:0.000000
3:@0.405714:0.929887:0.414310:0.929887:0.414310:0.913194:0.405714:0.913194:0.000000
⎛:@0.387916:0.903699:0.395499:0.903699:0.395499:0.886099:0.387916:0.886099:0.000000
⎝:@0.387916:0.932477:0.395499:0.932477:0.395499:0.914877:0.387916:0.914877:0.000000
⎜:@0.387916:0.911570:0.395499:0.911570:0.395499:0.893970:0.387916:0.893970:0.000000
⎜:@0.387916:0.917656:0.395499:0.917656:0.395499:0.900057:0.387916:0.900057:0.000000
⎜:@0.387916:0.923743:0.395499:0.923743:0.395499:0.906143:0.387916:0.906143:0.000000
⎜:@0.387916:0.929390:0.395499:0.929390:0.395499:0.911790:0.387916:0.911790:0.000000
⎞:@0.424310:0.903714:0.431893:0.903714:0.431893:0.886114:0.424310:0.886114:0.000000
⎠:@0.424310:0.932491:0.431893:0.932491:0.431893:0.914891:0.424310:0.914891:0.000000
⎟:@0.424310:0.910341:0.431893:0.910341:0.431893:0.892742:0.424310:0.892742:0.000000
⎟:@0.424310:0.915506:0.431893:0.915506:0.431893:0.897906:0.424310:0.897906:0.000000
⎟:@0.424310:0.920670:0.431893:0.920670:0.431893:0.903070:0.424310:0.903070:0.000000
⎟:@0.424310:0.925835:0.431893:0.925835:0.431893:0.908235:0.424310:0.908235:0.000000
⎟:@0.424310:0.929053:0.431893:0.929053:0.431893:0.911453:0.424310:0.911453:0.000000
=:@0.433531:0.918110:0.444466:0.918110:0.444466:0.901417:0.433531:0.901417:0.000000
5!:@0.473938:0.909023:0.485400:0.909023:0.485400:0.892330:0.473938:0.892330:0.000000:0.000000
3! 5 3 !:@0.448343:0.929461:0.511418:0.929457:0.511418:0.912764:0.448343:0.912768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.476570:0.929432:0.491735:0.929432:0.491735:0.911832:0.476570:0.911832:0.000000
(:@0.459847:0.930886:0.467430:0.930886:0.467430:0.909942:0.459847:0.909942:0.000000
):@0.501056:0.930886:0.508639:0.930886:0.508639:0.909942:0.501056:0.909942:0.000000
=:@0.515996:0.918126:0.526932:0.918126:0.526932:0.901434:0.515996:0.901434:0.000000
3! 4 5 4 5:@0.530831:0.909027:0.633607:0.909023:0.633607:0.892330:0.530831:0.892334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× ×:@0.543224:0.908028:0.576098:0.908028:0.576098:0.895019:0.543224:0.895019:0.000000:0.000000:0.000000
3! 2!:@0.539836:0.929461:0.575397:0.929457:0.575397:0.912764:0.539836:0.912768:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.552229:0.928462:0.563438:0.928462:0.563438:0.915453:0.552229:0.915453:0.000000
=:@0.588938:0.918126:0.599874:0.918126:0.599874:0.901434:0.588938:0.901434:0.000000
×:@0.613728:0.908028:0.624938:0.908028:0.624938:0.895019:0.613728:0.895019:0.000000
2:@0.614153:0.929461:0.622750:0.929461:0.622750:0.912768:0.614153:0.912768:0.000000
=10.:@0.637776:0.918126:0.670096:0.918126:0.670096:0.901434:0.637776:0.901434:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.105018:0.307805:0.105018:0.307805:0.089546:0.199646:0.089546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo explicas qué es el :@0.199884:0.132995:0.348995:0.132995:0.348995:0.118649:0.199884:0.118649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorial de un número?:@0.153346:0.148082:0.293446:0.148082:0.293446:0.133737:0.153346:0.133737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199644:0.216235:0.363492:0.216235:0.363492:0.200763:0.199644:0.200763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Conoces el binomio :@0.199880:0.244863:0.339491:0.244863:0.339491:0.229799:0.199880:0.229799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Newton? ¿Qué tiene que :@0.153337:0.260705:0.338682:0.260705:0.338682:0.245641:0.153337:0.245641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ver con los polinomios? ¿Qué :@0.153337:0.276546:0.347879:0.276546:0.347879:0.261483:0.153337:0.261483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación tiene con (  +  ) ?:@0.153337:0.292388:0.328090:0.292388:0.328090:0.277325:0.153337:0.277325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.278226:0.292494:0.312316:0.292494:0.312316:0.277457:0.278226:0.277457:0.000000:0.000000:0.000000
n:@0.317755:0.286588:0.322883:0.286588:0.322883:0.277806:0.317755:0.277806:0.000000
Glosario:@0.199644:0.377314:0.267109:0.377314:0.267109:0.359631:0.199644:0.359631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorial. :@0.199880:0.404128:0.260476:0.404128:0.260476:0.388867:0.199880:0.388867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De factores.:@0.260302:0.403930:0.334935:0.403930:0.334935:0.388867:0.260302:0.388867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coeficiente. :@0.153337:0.419970:0.232105:0.419970:0.232105:0.404709:0.153337:0.404709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número o paráme-:@0.231929:0.419772:0.354864:0.419772:0.354864:0.404709:0.231929:0.404709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tro que se escribe a la izquierda :@0.153337:0.435614:0.353385:0.435614:0.353385:0.420551:0.153337:0.420551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una variable o incógnita y :@0.153337:0.451456:0.338630:0.451456:0.338630:0.436393:0.153337:0.436393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que indica el número de veces :@0.153337:0.467298:0.349130:0.467298:0.349130:0.452235:0.153337:0.452235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que este debe multiplicarse.:@0.153337:0.483140:0.329040:0.483140:0.329040:0.468077:0.153337:0.468077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.381047:0.158313:0.379537:0.153110:0.357392:0.141706:0.358902:0.000000
c:@0.150290:0.392016:0.160889:0.390613:0.155807:0.368978:0.145207:0.370381:0.000000
b:@0.160665:0.384798:0.173379:0.383115:0.168247:0.361273:0.155534:0.362955:0.000000
Competencia :@0.199646:0.542962:0.297269:0.542962:0.297269:0.527490:0.199646:0.527490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.199646:0.555530:0.311604:0.555530:0.311604:0.540058:0.199646:0.540058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.193074:0.580005:0.329539:0.580005:0.329539:0.564942:0.193074:0.564942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.153338:0.595847:0.308111:0.595847:0.308111:0.580784:0.153338:0.580784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El coeficiente binomial se :@0.153338:0.625815:0.321303:0.625815:0.321303:0.610752:0.153338:0.610752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denota :@0.153338:0.652218:0.203749:0.652218:0.203749:0.637155:0.153338:0.637155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.211068:0.645567:0.219863:0.645567:0.219863:0.630504:0.211068:0.630504:0.000000
k :@0.211666:0.659191:0.223064:0.659191:0.223064:0.644128:0.211666:0.644128:0.000000:0.000000
.:@0.228464:0.652220:0.230980:0.652220:0.230980:0.637157:0.228464:0.637157:0.000000