(a)[2]
Determine how many different committees of 6 people can be formed from 6 men and 8 women when the committee has to contain 3 men and 3 women.
(b)[3]
A separate committee of 6 people is to be selected from 6 men and 8 women. Three of the 6 men are brothers. Determine how many different committees can be formed if there is no limit on the numbers of men and women, but the committee must contain no more than two of the brothers.