Allowing (or requiring) users to use numerical digits (including 0) and one of 28 “special characters” dramatically increases the number of possible passwords.  Furthermore, passwords often are case-sensitive, effectively doubling the size of the alphabet by defining 52 distinct letter characters. Assuming that passwords are case-sensitive and can include numerical digits and special characters, how many possible 7, 8 and 10 character passwords can be created?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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Allowing (or requiring) users to use numerical digits (including 0) and one of 28 “special characters” dramatically increases the number of possible passwords.  Furthermore, passwords often are case-sensitive, effectively doubling the size of the alphabet by defining 52 distinct letter characters. Assuming that passwords are case-sensitive and can include numerical digits and special characters, how many possible 7, 8 and 10 character passwords can be created?

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