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: 50

Answer

$11_{{C}{_{4}}}$ = 330

Work Step by Step

TOTAL NUMBER OF MEMBERS OF ORGANISATION = 11 NUMBER OF MEMBERs OF COMMITTEE TO BE ELECTED = 4 THE NUMBER OF COMMITTEES BEING ELECTED AMONG 11 MEMBERS OF ORGANISATION = $11_{{C}{_{4}}}$ = $\frac{11!}{(11 - 4)! 4!}$ = $\frac{11!}{7!. 4!}$ = $\frac{11\times10\times9\times8\times7!}{7! 4\times3\times2\times1}$ = $\frac{11\times10\times9\times8}{ 4\times3\times2\times1}$ = 330
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