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UBA - CienciaS :: Ver Tema - 1er parcial 17/05/03
UBA - CienciaS
http://ubacs.com.ar/ubacs/

1er parcial 17/05/03
http://ubacs.com.ar/ubacs/viewtopic.php?f=28&t=295
Página 1 de 1

Autor:  Carla [ 13 Jul 2008, 22:24 ]
Asunto:  1er parcial 17/05/03

Hola, a ver si pueden ayudarme con este ejercicio

En una sala hay 180 asientos dispuestos en 10 filas y 18 columnas ¿De cuantas formas se puede sentar 7 hombres y 12 mujeres sino puede haber mas de un hombre por fila ni por columna?

Gracias

Autor:  Quimey [ 13 Jul 2008, 22:30 ]
Asunto:  Re: 1er parcial 17/05/03


Autor:  Nico? [ 13 Jul 2008, 22:35 ]
Asunto:  Re: 1er parcial 17/05/03

me ganaste de mano che
jajaa

Autor:  Yossarian [ 13 Jul 2008, 23:49 ]
Asunto:  Re: 1er parcial 17/05/03

¿no hay que multiplicar por 7! y por 12!? ¿hombres y mujeres indistinguibles :P ?

Autor:  Carla [ 14 Jul 2008, 13:58 ]
Asunto:  Re: 1er parcial 17/05/03

Gracias Quimey por la ayuda, iba bien encaminada por lo menos ;)

Autor:  Quimey [ 14 Jul 2008, 19:37 ]
Asunto:  Re: 1er parcial 17/05/03

Yossarian tiene razon ahi lo edito.

Autor:  BiFo [ 11 Dic 2008, 20:32 ]
Asunto:  Re: 1er parcial 17/05/03

Buenas.
Yo lo hice deductivamente, no puedo verificarlo con el resultado suyo pq el numero es bastante grande.

• Distribuyo a los hombres cumpliendo la condicion pedida:
-El primer hombre elije un asiento entre 180 = 180 Opciones.
-El segundo hombre elije un asiento entre 180 - 27 = 153 Opciones
¿Porque 27? 10 Asientos de una Fila + 17 Asientos de una columna.
-El tecer hombre elije un asiento entre 180 - 27 - 25 = 153 Opciones
¿Porque 25? 9 Asientos de una Fila + 16 Asientos de una columna.
...
-El septimo hombre elije un asiento entre 180 - 27 - 25 - 23 - 21 - 19 - 17 = 48 Opciones

180 Asientos - 7 Ocupados por los Hombres = 173 Libres.

• Distribuyo a las Mujeres:
-La primer mujer elije uno entre 173 asientos.
-La segunda mujer elije uno entre 173-1 asientos.
-La tercera elije uno entre 173-2 asientos.
...
-La 12° mujer elije uno entre 173-11 asientos.

• Resultado Final:
(Distribuciones Hombres) * (Distribuciones de Mujeres):
(180*152*128*105*84*65*48) * (173172*171*170*169*168*167*166*165*164*163*162)


Seguramente haya varios agujeros en la logica que plantee, pero no los encuentro.
¿Como lo ven?
Sino se entendio algo avisen que trate de expresar mi idea mejor.

Saludos!!



Edit: La Buena Calculadora de Windows, el unico elemento de Microsoft que jamas falla:

Su Resultado:
6,5544329759187533341797044559544e+37

Mi Resultado:
3,8452673458723352893854266141599e+40

Evidentemente me pase x un poquitin ¿Alguno podria decirme porque?

Autor:  hookdump [ 13 Dic 2008, 00:48 ]
Asunto:  Re: 1er parcial 17/05/03

Creo que cuando restaste 27, 25, etc.. estabas contando el asiento descartado dos veces...

Anyway, la idea de combinatoria es ZAFAR de tener que hacer todas esas cuentas innecesarias!! :)

asadasdasd el recuperatorio es en 7 horassssss auxiliooooooo

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