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There are 7 females and 8 males. In how many ways can they be chosen for a 4 place group? (I have a test 4th hour and I’m really confused!)

Respuesta :

With the added condition of having exactly two females and two males:

There are 7 females to choose from, and 8 males to choose from. So the total number of 4-person groups is

[tex]\dbinom72\dbinom82=\dfrac{7!}{2!(7-2)!}\dfrac{8!}{2!(8-2)!}=21\cdot28=336[/tex]
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