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Answers Permutation With Repetition Calculator

How many 8 digit PINs are possible?

This is permutation with repetition because the 8 PIN positions are ordered and each position can use any digit from 0 through 9, including repeats.

Exact result

100,000,000

10 choices for 8 ordered positions gives 100,000,000.

Each of the 8 PIN positions has 10 choices. PINs like 12345678 and 87654321 are different, and repeated digits like 00000000 are allowed, so the total is 10^8.

Worked steps

Show your work

  1. Inputs: n = 10, r = 8
  2. Formula: n^r
  3. Substitute: 10^8
  4. Steps: multiply 10 by itself 8 times
  5. Result: 10 choices for 8 ordered positions gives 100,000,000.

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Each of the 8 PIN positions has 10 choices. PINs like 12345678 and 87654321 are different, and repeated digits like 00000000 are allowed, so the total is 10^8.

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