A club has ten members.In how many ways can the offices of president,vice president,secretary,and treasurer be filled if no member can serve in two offices?
A) 10,000
B) 5040
C) 210
D) 40
E) 16

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the members are chosen for the offices matters. The first office can be filled by any of the 10 members, the second by any of the remaining 9, the third by 8, and the fourth by 7. Therefore, the total number of ways is 10 * 9 * 8 * 7 = 5040.

A Club Has Ten Members