• passwords may only contain lowercase letters • passwords may be between 5 and 7 characters long • passwords may not start with the letters a, b or c • passwords may not contain the following 4-letter word: sock
• passwords may only contain lowercase letters • passwords may be between 5 and 7 characters long • passwords may not start with the letters a, b or c • passwords may not contain the following 4-letter word: sock
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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*DO NOT COMPUTE LARGE EXPONENTS, LEAVE ANSWER UNSIMPLIFIED PLEASE*
How many passwords can be created which meet each set of criteria below?
Use the counting unions method, counting cartesian product or pigeon principle method to get the answer
Expert Solution
Step 1
Given criteria:
- Passwords may only contain lowercase letters.
- Passwords may be between 5 and 7 characters long.
- Passwords may not start with the letters a, b or c
- Passwords may not contain the following 4-letter word: sock
We need to find out how many passwords can be created which meet each set of criteria mentioned above.
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