7. We consider case-sensitive alphanumeric passwords (there are 62 possible characters). (a) How many passwords with length 10 are there? (b) How many passwords of length 10 contain your (7 character) user name? Be sure to explain your answer. (c) How many passwords have length 8, 9, or 10 and do not contain your user name?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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7. We consider case-sensitive alphanumeric passwords (there are 62 possible characters).
(a) How many passwords with length 10 are there?
(b) How many passwords of length 10 contain your (7 character) user name? Be sure to explain
your answer.
(c) How many passwords have length 8, 9, or 10 and do not contain your user name?
Transcribed Image Text:7. We consider case-sensitive alphanumeric passwords (there are 62 possible characters). (a) How many passwords with length 10 are there? (b) How many passwords of length 10 contain your (7 character) user name? Be sure to explain your answer. (c) How many passwords have length 8, 9, or 10 and do not contain your user name?
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