Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.4 - Permutations and Combinations - Exercises - Page 437: 18

Answer

$210$

Work Step by Step

The number of ordered sequences of three items chosen from seven equals to the number of permutations of 7 items taken 3 at a time : $P(7,3)=\frac{7!}{(7-3)!}=\frac{7!}{4!}=\frac{7*6*5*4*3*2*1}{4*3*2*1}=7*6*5=210$
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