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?
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?
Explanation
756
Select 3 men from a group of 7 (7C3) and select 2 women from a group of 6 (6C2) to form a committee of 5 and increase these combinations. Do the same for the other two cases and add all these values to get the answer you need. Therefore, the total number of ways to form a five-member committee is 756.