Question: 15 From a faculty of six professors, six associate professors, 10 assistant professors, and 12 instructors, a committee of six is formed randomly. What is

15 From a faculty of six professors, six associate professors, 10 assistant professors, and 12 instructors, a committee of six is formed randomly. What is the probability that

(a) there are exactly two professors on the committee;

(b) all committee members are of the same rank?

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