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 439: 68a

Answer

$22!$

Work Step by Step

First we choose where he goes after Detroit. (22 choices), the we choose where he goes after that(21) choices... and we continue like that until he visits every city, then he goes to Detroit again, but that makes no difference in the number of itineraries. Therefore the answer is $22!$
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