Suppose that a password for a computer system must haveat least 8, but no more than 12 characters, where eachcharacter in the password is a lowercase English letter,an uppercase English letter, a digit, or one of the six specialcharacters ∗, >, <, !, +, and =. a) How many different passwords are available for thiscomputer system? b) How many of these passwords contain at least one occurrenceof at least one of the six special characters?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question # 9:

Suppose that a password for a computer system must haveat least 8, but no more than 12 characters, where eachcharacter in the password is a lowercase English letter,an uppercase English letter, a digit, or one of the six specialcharacters ∗, >, <, !, +, and =.

a) How many different passwords are available for thiscomputer system?

b) How many of these passwords contain at least one occurrenceof at least one of the six special characters?

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