Question

From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

Answer 1

Answer:- So There are three possible ways to form the committee , since atleast 3 mens have to be in the committee-

1) 5 men & no women

2) 4 men & 1 women

3) 3 men & 2 women

So the required no -  C(7,5) . C(6,0) + C(7,4) . C (6,1) + C(7,3) . C(6,2)

THUS:- 21*1 + 35*6 + 35*15

= 756

So there are about 756 possibilities !!!!