Use the Permutations Formula
-A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 9 members and any member can be elected to each position? No person can hold more than one office.
A) 504
B) 252
C) 168
D) 3024

Question

Quizplus · Accepted Answer

The number of ways to elect a president, vice-president, and secretary-treasurer from 9 members, with no repetition, is calculated using permutations: 9P3 = 9! / (9-3)! = 9! / 6! = 9 × 8 × 7 = 504.