User passwords for a certain computer network consist of 22 letters followed by 44 numbers. how many different passwords are possible? repetition is allowed.

Respuesta :

There are 26 different possibilities for each of the letters and 10 different possibilities for each of the numbers. Using the fundamental counting principle, there are 26^22 x 10^44 different unique passwords. If letters can be capitalizes, the number of combinations is 52^22 x 10^44.

1012 passwords are possible.

Calculus

Given that user passwords for a certain computer network consist of 22 letters followed by 44 numbers, to determine how many different passwords are possible if repetition is allowed, the following calculation must be performed:

  • Letters of the alphabet = 26
  • Numbers = 10
  • 26 x 22 + 44 x 10 = X
  • 572 + 440 = X
  • 1012 = X

Therefore, 1012 passwords are possible.

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