A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 r

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A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?

Answer: Option E

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