Answer
$C(6,2) = 15$
Work Step by Step
Use the formula $C(n, r)=\dfrac{n!}{(n-r)!r!}$:
$C(6,2)
\\=\dfrac{6!}{(6-2)!2!}
\\=\dfrac{6!}{4!\times2!}
\\=\dfrac{6\times5\times4!}{4!\times2!}
\\=\dfrac{6\times5}{2!}
\\= \dfrac{30}{2}
\\=15$
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: 18
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