Answer
$48,620$
Work Step by Step
Recall:
$C(n, r)=\dfrac{n!}{(n-r)!r!}$ ways.
Thus,
\begin{align*}
C(18, 9)&=\dfrac{18!}{(18-9)!9!}\\
\\&=\dfrac{18!}{9!9!}
\end{align*}
Using a calculator gives
$C(18, 9)=\dfrac{18!}{9!(18-9)!}=48,620$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 12 - Counting and Probability - Section 12.2 Permutations and Combinations - 12.2 Assess Your Understanding - Page 875: 22
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