Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.2 Permutations and Combinations - 13.2 Asses Your Understanding - Page 855: 40



Work Step by Step

We know that the number of arrangements of $n$ objects in $r$ slots (where in a slot only $1$ of the $n$ elements can be put) is: $n^r$. Thus the number of company names possible with $4$ letters: $26^4=456976.$ The number of company names possible with $5$ letters: $26^5=11881376.$ Thus the total is:$456976+11881376=12338352.$
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