Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 755: 47


A)There are 24 possible permutations. B)No

Work Step by Step

A)Find $_{4}$P$_{4}$: $_{4}$P$_{4}$=$\frac{4!}{(4-4)!}$ -simplify- $_{4}$P$_{4}$=$\frac{4!}{0!}$ -write using factorial- $_{4}$P$_{4}$=$\frac{4*3*2*1}{1}$ -simplify- $_{4}$P$_{4}$=24 There are 24 possible permutations. B)No, especially if the name is short as it is more prone to hackers since there are only a number of possible passwords using the name
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