Precalculus (10th Edition)

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

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 807: 11

Answer

$504$

Work Step by Step

We know that $n!=n\cdot(n-1)\cdot (n-2)...\cdot 3\cdot2\cdot1.$ Hence, $\require{cancel}\dfrac{9!}{6!}\\ =\dfrac{9\cdot8\cdot7\cdot6!}{6!}\\ =\dfrac{9\cdot8\cdot7\cdot\cancel{6!}}{\cancel{6!}}\\ =9\cdot8\cdot7\\ =504$
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