How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members? assume that no member can hold more than one office?

Question

Emilie Castaneda

Mathematics

24 April, 04:32

How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members? assume that no member can hold more than one office?

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Rowan Sanchez · Answer 1

This type of problem is a permutation problem. Permutation is the arrangement of a set with certain order. In the problem, if there are 9 members, and 3 positions are available without repeating, we can write the expression as 9P3 - 3 non repeating positions in a set of 9 elements. By evaluating, we will have 9! / (9-3) ! = 504. The answer is 504.