Question

An organization consisting of 27 women and 17 men needs to select from its ranks a committee of 6 people. In how many possible ways can the committee be formed so that it contains exactly two men?

Answer 1

Solution: We use combinatorics in this case. When we are selecting m objects out of n (m<n) then it can be done in

We have 27 women so we have select 4 women from 27 which will have combinations

we have to select 2 men out of 17 so we have

combinations

Total combination having exactly two men = = 17550*136=2386800 =Total number of combinations where exactly two women are selected