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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?
  1. 546
  2. 646
  3. 756
  4. 854
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.

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