stat 200 e322 statistics discussion 3

A graduate student in mathematics & physics is looking for five members of his dissertation committee. He has been working closely with three professors in the mathematics department, and 5 professors in the physics department on his dissertation research. How may ways can this graduate student choose among the professors if the committee head must be a mathematician, and the rest of the committee can be a mix of mathematicians and physicists? Briefly explain how to calculate the result.

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