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30. a. In how many ways can a club with 15 members be divided into three committees of five members each, with no member serving on more than one committee, if each committee has different duties? If all committees perform the same functions? In how many ways can the club be divided into three commit- tees, each consisting of a chair, a secretary, and three other members, if the committees have different duties and no one serves on more than one committee? b. c.

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