College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.6 - Page 768: 17

Answer

$13_{{C}{_{6}}}$ = 1716

Work Step by Step

This problem has the case of combinations thus we use the formula $n_{{C}{_{r}}}$ = $\frac{n!}{(n - r)! r!}$. We have to choose 6 people out of 13 then $13_{{C}{_{6}}}$ = $\frac{13!}{(13 - 6)! 6!}$ = $\frac{13\times12\times11\times10\times9\times8\times7!}{7! .6\times5\times4\times3\times2\times1!}$ = 1716
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