Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 767: 47


(a) There are 24 possible permutations. (b) No

Work Step by Step

(a) First of all Find $4P_{4}$ Write it by using factorials: $4P_{4}=\frac{4 !}{4-4}!$ Simplify: $4P_{4}=\frac{4!}{0!}=\frac{}{1}$ $4P_{4}=24$ Thus, there are 24 possible permutations. (b) No, especially if your name is very short like in part (a) as it is more prone to hackers since there are only a number of possible passwords using your name.
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