Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 768: 64


It will always be true.

Work Step by Step

$n^{C}_{n-1}=\frac{n!}{(n-1)!(n-(n-1))!}$ $n^{C}_{n-1}=\frac{n!}{(n-1)!=\frac{n!}{(n-1)!}}$ By the definition of factorial we can write it as: n!=n.(n-1)! $n^{C}_{n-1}=\frac{n.(n-1)!}{(n-1)!}$
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