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A computer system uses passwords that are exactly eight characters and each character is one of...

A computer system uses passwords that are exactly eight characters and each character is one of the 26 letters (a-z) or integers (0-9). Uppercases are not allowed).

  1. How many passwords are possible?
  2. If one selected a random password, what is the probability it consists of five letters followed by 3 numbers?
  3. What is the probability that a randomly selected password consists exactly of 7 letters and 1 number?

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