Q59
A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?
A.
4914
AnswerB.
3630
C.
3724
D.
3824
Answer: Option A
Solution
Answer: Option A
Solution:
Three possibilities: (1W+6M), (2W+5M), (3W+4M)= (6C1 × 9C6) + (6C2 × 9C5) + (6C3 × 9C4)
= 4914