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
B. 3630
C. 3724
D. 3824
Answer: Option A
Solution(By Examveda Team)
Three possibilities: (1W+6M), (2W+5M), (3W+4M) = (6C1 × 9C6) + (6C2 × 9C5) + (6C3 × 9C4)= 4914
This Question Belongs to Arithmetic Ability >> Permutation And Combination
Why we can't form 4women and 3 men