A committee of 5 people is to be chosen froma group of 6 men and 4 women.
How many committees are possible if:
a) there are to be 3 men and 2 women?
b) there are to be men only?
c) there is to be a majority of women?
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total : 6 men and 4 women =10 people
5 to choose from 10 people = 10c5
a) 3 men from 6 men and
2 women from 4 women
6c3×4c2 = 6×5×4/6 * 4×3/2
=6×5×4 = 120
b) 5 men from 6men
6c5 =6c1 =6
c) majority women
i) 4 women 1 man = 4c4×6c1 =6
ii) 3 women 2man = 4c3×6c2
= 4×6×5/2 =60
majority women = 6+60 =66
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