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How many ways if in addition one particular man and one

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 2 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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Basic Computer Science: How many ways if in addition one particular man and one

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