Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 16

Answer

$C(8,6) = 28$

Work Step by Step

Use the formula $C(n, r)=\dfrac{n!}{(n-r)!r!}$: $C(8,6) \\= \dfrac{8!}{(8-6)!6!} \\= \dfrac{8!}{2!\times 6!} \\= \dfrac{8\times7\times6!}{2! \times 6!} \\= \dfrac{8\times7}{2!} \\=\dfrac{56}{2} \\=28$
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