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The statistics department has 11 assistant professors, 7 associate professors, and 8 full professors. A committee...

The statistics department has 11 assistant professors, 7 associate professors, and 8 full professors. A committee of three is to be chosen.

a. What’s the probability there are exactly two associate professors on the committee?

b. What’s the probability all three professors on the committee have a different rank (that is, the committee contains one assistant, one associate, and one full professor)?

c. What’s the probability all three professors on the committee have the same rank?

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