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: 12

Answer

$132$

Work Step by Step

We know that $n!=n\cdot(n-1)\cdot(n-2)...\cdot2\cdot1.$ Hence, $\require{cancel} \dfrac{12!}{10!}\\ =\dfrac{12\cdot11\cdot10!}{10!}\\ =\dfrac{12\cdot11\cdot\cancel{10!}}{\cancel{10!}} \\=12\cdot11\\ =132$
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