A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10 seniors. Four players

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A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that
a. All 4 are seniors
b. There is 1 each: freshman, sophomore, junior, and senior
c. There are 2 sophomores and 2 freshmen
d. At least 1 of the students is a senior
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