Question
From a group of 6 men and 5 women, a committee of 4
people is to be formed such that there is at least one woman in the committee. In how many ways can this be done?Solution
ATQ, Total people = 11. Total ways to choose 4 = C(11,4) = 330. Subtract ways with no woman (all men): Number of all-men committees = C(6,4) = 15. Required ways = 330 − 15 = 315.
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