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: 3

Answer

$26^6$

Work Step by Step

We are selecting a string consisting of six letters, each of which can be any of the $26$ letters, with repetition allowed. There are $26$ choices for the first letter, $26$ choices for the second letter, and so on. By the product rule on page 386, the total number of ways to select five elements is $26*26*26*26*26*26=26^6$.
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