College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 10 - Section 10.2 - Permutations and Combinations - 10.2 Assess Your Understanding - Page 695: 39

Answer

$18,278$

Work Step by Step

The number of arrangements of $n$ objects in $r$ slots where each slot can be any one of these objects is $n^{r}$. Number of company names represented by 1 letter $26^{1}=26$ Number of company names represented by 1 letter $26^{2}=676$ Number of company names represented by 1 letter $26^{3}=17,576$ Total: $26 + 676 + 17,576 = 18,278$
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