Five persons are to be selected from a group of 7 males and 6 females to form party so that at least...........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Permutation & Combination

Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ?

756

765

785

758

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Explanation:

From a group of 7 men and 6 women, five persons are to be selected with at least 3 men.
So we can have:-
(5 men) or (4 men and 1 woman) or (3 men and 2 woman)
(7C5)+(7C4 * 6C1)+(7C3 * 6C2)= [21 + 35*6 + 35*15] = 756