How can I select a committee of 5 people out of 10 men and 8 women. Women must be the majority in the committee. One man must be in the committee.

Answer 1

So you must select 3 or 4 women
= C(8,3)*C(10,2) + C(8,4)*C(10,1)
= 56(45) + 70(10)
= 3220

check my arithmetic