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 769: 52

Answer

$14_{{C}{_{6}}}$ = 3003

Work Step by Step

TOTAL NUMBER OF STANDBY PEOPLE = 14 NUMBER OF SEATS AVAILABLE = 6 THE NUMBER OF WAYS OF SITTING SIX PEOPLE OUT OF FOURTEEN = $14_{{C}{_{6}}}$ = $\frac{14!}{(14 - 6)! 6!}$ = $\frac{14!}{8!. 6!}$ = $\frac{14\times13\times12\times11\times10\times9\times8!}{ 8!.6\times5\times4\times3\times2\times1}$ = $\frac{14\times13\times12\times11\times10\times9}{ 6\times5\times4\times3\times2\times1}$ = 3003
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