Question

A committee of three men and two women can be formed from a group of nine men and eleven women in how many different ways.

Answer 1

4620.

Explanation:

The number of combinations of 3 men from 9

= 9!/(9-3)!3!

= 9*8*7/3*2*1

= 84 ways.

The number of combinations of 2 women from 11

= 11!/11-2)!2!

= 11*10/2*1

= 55 ways.

So the total number of ways of men and women in the committee

= 84*55

= 4620.