Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.5 - Generalized Permutations and Combinations - Exercises - Page 432: 2



Work Step by Step

We are selecting five elements, each of which can be any of the five elements $a$, $b$, $c$, $d$, $e$, with repetition allowed. There are $5$ choices for the first element, $5$ choices for the second element, and so on. By the product rule on page 386, the total number of ways to select five elements is $5*5*5*5*5=5^5=3125$.
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