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A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and...

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A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen?

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