College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.6 - Page 768: 19

Answer

The number of ways to form password with four different letters without repetition = 35

Work Step by Step

Given letters = A, B, C, D, E, F, G = 7 The number of ways to form password with four different letters without repetition $7_{{P}{_{4}}}$ = $\frac{7!}{(7 - 4)! 4!}$ = $\frac{7\times6\times5\times4\times3!}{3! .4\times3\times2\times1}$ = 35
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