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A committee of 6 people will be selected from a faculty of 6 full professors, 10 associate professors and 12 assistant professors. If the committee

A committee of 6 people will be selected from a faculty of 6 full professors, 10 associate professors and 12 assistant professors. If the committee members are selected at random, calculate the probability that there will be

(i) exactly 2 assistant professors on the committee.

(ii) No full professors on the committee.

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