Answer
$\frac{n!}{(n-r)!(n-(n-r))!}=\frac{n!}{(n-r)!r!}$
Work Step by Step
The binomial coefficient of
$\binom{n}{r}=\frac{n!}{r!(n-r)!}$
Which equals to
$\binom{n}{n-r}=\frac{n!}{(n-r)!(n-(n-r))!}=\frac{n!}{(n-r)!r!}$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 14 - Sequences, Series, and the Binomial Theorem - 14.4 The Binomial Theorem - 14.4 Exercise Set - Page 923: 69
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