Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.6 - Counting Principles - 11.6 Exercises - Page 825: 89


The identity is verified. $_nC_{n-1}=~_nC_1$

Work Step by Step

$_nC_{n-1}=\frac{n!}{[n-(n-1)]!(n-1)!}=\frac{n!}{1!~(n-1)!}=\frac{n!}{(n-1)!~1!}=~_nC_1$ It can also be verified that: $_nC_{n-1}=~_nC_1=n$
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