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.

3724

B.

3630

C.

4914

D.

3824

• c.4914 its like 9c6*6c1+9c5*6c2+9c4*6c3=4914 :)
  consider majority of mens so that women can not b more than 4 ;)
• 10 years agoHelpfull: Yes(13) No(2)
• ans:4914
  committee of seven members
  we have possibility of atleast one female and not more than the male .we have 9 male and 6 female
  9c6*6c1+9c5*6c2+9c4*6c3=84*6+126*15+126*20=4914
• 10 years agoHelpfull: Yes(3) No(0)