A committee of five people is to be chosen from a club that boasts a membership of 10 men and 12 women. How many ways can the committee be formed if it is to contain at least two women? How many ways if, in addition, one particular man and one particular woman who are members of the club refuse to serve together on the committee?
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We can do this in several ways: - Choose 2 women out of 12: 12C2 = 66 ways - Choose 3 women out of 12: 12C3 = 220 ways - Choose 4 women out of 12: 12C4 = 495 ways - Choose 5 women out of 12: 12C5 = 792 ways Next, we need to choose the remaining members of the Show more…
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