Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.6 - Counting Principles, Permutations, and Combinations - Exercise Set - Page 1105: 92


$144$ numbers

Work Step by Step

It is an odd number; the last digit can only be $7, 9$ (2 choices). The number is less than 6000, so the first digit can only be $2,4$ (2 choices). Assume the digits can be used repeatedly. The middle two digits have $6$ choices each, so the total number of ways is $2\times6\times6\times2=144$
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