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12 November, 11:04

To use an automated teller machine at a certain bank, you must enter a 55 -digit code, using the digits 1 dash 91-9. how many 55 -digit codes are possible if repetition of digits is permitted?

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  1. 12 November, 11:31
    0
    There would be 15,120 different possibilities.

    I assume you meant 5 digit codes and not 55 (just a typo).

    There are 9 choices for the first number, then 8, then 7, then 6, then 5.

    If we multiply them all together, we will have the total number of possibilities.

    9 x 8 x 7 x 6 x 5 = 15120
  2. 12 November, 11:32
    0
    There are 59,049 possibilities.

    There are 9 digits possible for each of the 5 digits:

    9^5 = 59049
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