Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-4 Counting Rules - Exercises 4-4 - Page 235: 7


$40320$ $5040$

Work Step by Step

Eight dogs are selected for the final round of a dog show to compete for best of show. How many different ways can they line up to enter the ring? Use permutation: $8!=40320$ The judge then randomly chooses the dogs to parade around the ring in a circle. In how many ways can this be done? We assume all 8 dogs will parade around the ring. We choose one end dog first, then the lead dog (7 choices) then the next one (6 choices) and so on. The total ways of arrange dogs in a circle is $7!=5040$
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