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: 2

Answer

$3125$

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 $5*5*5*5*5=5^5=3125$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.