In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

Answer 1

So we must have
4W,2M ; 5W,1M ; or 6W

calculate each case , then add them up

I will do the 4W2M combination
= C(8,4)*C(7,2)
= 70*21
= 1470

You do the other two cases

Answer 2

Is there a trick to solving factorials?