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Problem 2. (28 4*7 points) A club with 31 boys and 33 girls needs to form a committee of size ten. 1. How many committees

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Problem 2. (28 4*7 points) A club with 31 boys and 33 girls needs to form a committee of size ten. 1. How many committees are possible? How many committees are possible if the committee must have three girls and three boys? 3. How many committees are possible if the committee must have at least five boys? 4. How many committees are possible if the committee must consist of all girls or all boys

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