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10 freshmen, 7 sophomores, 7 juniors, and 10 seniors are eligible to be on a committee. In how many ways can a dance committee

10 freshmen, 7 sophomores, 7 juniors, and 10 seniors are eligible to be on a committee. In how many ways can a dance committee of 18 students be chosen? In how many ways can a dance committee be chosen if it is to consist of 6 freshmen, 5 sophomores, 3 juniors, and 4 seniors.

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