Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

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: a
Explanation: Three possibilities: (1W+6M), (2W+5M), (3W+4M)
= (6C1 × 9C6) + (6C2 × 9C5) + (6C3 × 9C4)
= 4914

Join The Discussion