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A committee of 5 people must be selected from 10 men and 5 women. How many...

A committee of 5 people must be selected from 10 men and 5 women. How many different ways this can be done If there must be 3 men and 2 women in each committee?

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Answer #1

x persons can be selected from n persons by nCx ways.

Where  nCx = n! / [ (n-x)! * x! ]

So,

Number of ways to select 3 men and 2 women = 10C3 * 5C2

= 120 * 10

= 1200

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