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From (9) men and (8) women (6) persons are to be selected with at least (3) women. How many ways are there?

Answer and explanation

Correct answer: (7756)

The number of women can be (3), (4), (5), or (6). The correct sum is (\binom{8}{3}\binom{9}{3}+\binom{8}{4}\binom{9}{2}+\binom{8}{5}\binom{9}{1}+\binom{8}{6}=7756).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq

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