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 1103: 36

Answer

35152 different four-letter radio stations call letters can be formed.

Work Step by Step

We know that the situation involves making choices with four groups of items. We use the fundamental counting principle to determine the number of different radio station call letters that are possible. The total number of different radio station call letters are: $2\times 26\times 26\times 26=35152$ Hence, there are 35152 radio station call letters that can be formed.
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