• 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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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

 
• 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
iv.
passwords may not contain the following 4-letter word: sock
Transcribed Image Text:• 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 iv. passwords may not contain the following 4-letter word: sock
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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