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20. There are 5 sophomores, 13 juniors, and 10 seniors in a club. (a) If a committee of 2 sophomores, 3 juniors, and 4 seniors is to be formed, how many ways are there to form such a committee? (b) If 9 members are chosen at random to form a committee, what is the probability that the committee ends up having 2 sophomores, 3 juniors, and 4 seniors?
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