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What is the probability that exactly two seniors

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The math club of some university consists of 6 freshmen, 8 sophomores, 15 juniors and 7 seniors. From these members, five officers need to be chosen for the club. Suppose the officers are selected by faculty at random.

(a) What is the probability that exactly two seniors will be among the officers?

(b) What is the probability that at most two of the officers will be freshmen?

(c) What is the probability that all officers are in the same year?

Reference no: EM132846747

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