Question

Course hero from a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. in how many ways can it be done?

Answer 1

All possible combinations are obtained by forming committees of 3 men and two women, 4 men and 1 woman, and 5 men. Therefore the required number of ways is:
$7C3\times6C2+7C4\times6C1+7C5=756$
The answer is there are 756 ways.