College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.6 - Page 769: 41

Answer

The number of ways to fill the office = 720

Work Step by Step

Number of members in club = 10 We have to choose three officers such that each office held by one person, then the number of ways to fill the office use the formula $n_{{P}{_{r}}}$ = $\frac{n!}{(n - r)! }$ The number of ways to fill the office $10_{{P}{_{3}}}$ = $\frac{10!}{(10 - 3)! }$ = $\frac{10\times9\times8\times7!}{7! }$ = $10\times9\times8$ = 720
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