Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-4 Counting Rules - Exercises 4-4 - Page 235: 8


$27600$ and $35152$

Work Step by Step

The call letters of a radio station must have 4 letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? The first letter has 2 choices, the second one 25, third 24, and forth 23, so the total is $2\times25\times24\times23=27600$ If repetitions are allowed? In this case, the first letter has 2 choices, the second one 26, third 26, and forth 26, so the total is $2\times26\times26\times26=35152$
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