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A football team consists of 13 each freshmen and sophomores, 14 juniors and 12 seniors. Four...

A football team consists of 13 each freshmen and sophomores, 14 juniors and 12 seniors. Four players are selected at random to serve as captains. Find the probability that :

a) all four are seniors

b) There is one each: freshman, sophomore, junior and senior.

c) There are 2 sopomores and 2 fresjhman

d) At least one of the students is a senior

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