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Suppose that you want to come up with a password of four characters in length that can only include lower case letters and numbers from

Suppose that you want to come up with a password of four characters in length that can only include lower case letters and numbers from 0 to 9.

Password only includes 4 characters and only includes lower case letters (26), and numbers 0 to 9 (10). Please explain what method was used to answer each question.

  1. 1.Assuming repetitions are allowed, how many passwords are possible?
  2. Assuming repetitions are not allowed, how many passwords are possible?
  3. Assuming repetitions are not allowed and there must be exactly two numbers, how many passwords are possible?
  4. Assuming repetitions are not allowed and there must be exactly two numbers, located at the end of the password, how many passwords are possible?
  5. Assuming repetitions are not allowed, there must be exactly two numbers, located at the end of the password, and that the letters can only be vowels, how many passwords are possible?

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