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My club has 15 members. In how many ways can we choose a president, vice-president, secretary, and treasurer, if either the secretary or the treasurer must be elected vice-president and no other member can hold more than one office?

 Mar 28, 2020
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Since it does not matter if the secretary or treasurer becomes vice president, we just say there are three spots: the vice president, president, and either secretary or treasurer. So, 15x14x13=2730 possibilities.

 Mar 28, 2020

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