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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?
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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?

User Rejoanul Alam
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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*6C2+7C4*6C1+7C5=756
The answer is there are 756 ways.
User Jojo Tutor
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