In how many different ways can a ski club consisting of 20 people select a person for its officers? The positionsavailable are president, vice president, treasurer, and secretary. No person can hold more than one positionsand the each office is filled in order.
A) 116,280
B) 4845
C) 1440
D) 74

Question

Quizplus · Accepted Answer

The number of ways to select 4 officers from 20 people, with no repetition and order matters, is calculated using permutations: 20P4 = 20! / (20-4)! = 20 * 19 * 18 * 17 = 116,280.

In How Many Different Ways Can a Ski Club Consisting