Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.2 Permutations and Combinations - 13.2 Asses Your Understanding - Page 855: 10

Answer

$40320$

Work Step by Step

We know that $P(n,r)=\dfrac{n!}{(n-r)!}$ and $0!=1$. Hence, $P(8,8)=\dfrac{8!}{(8-8)!}=\dfrac{8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{0!}=8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1=40320$
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