Subject
Quantitative Aptitude
Topic
Permutation & Combination
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?
ক)
564খ)
645গ)
735ঘ)
756Explanation
We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only). Required number of ways = (7C3 x 6C2) + (7C4 x 6C1) + (7C5) = (7 x 6 x 5)/( 3 x 2 x 1) x (6 x 5)/( 2 x 1) + (7C3 x 6C1) + (7C2) = 525 + [{(7 x 6 x 5)/( 3 x 2 x 1)}x 6] + (7 x 6)/( 2 x 1) = (525 + 210 + 21) = 756.Related questions
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