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: 4

Answer

$279936$

Work Step by Step

We are choosing one of six kinds of sandwiches in each of the seven days. There are 6 choices for the first day, 6 choices for the second day, and so on. By the product rule on page 386, the number of ways to choose sandwiches for 7 days is $6*6*6*6*6*6*6=6^7=279936$.
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