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Answers Permutation With Repetition Calculator

How many 12 digit PINs are possible?

This is permutation with repetition because the 12 PIN positions are ordered and each position can use any digit from 0 through 9, including repeats.

Exact result

1,000,000,000,000

10 choices for 12 ordered positions gives 1,000,000,000,000.

Each of the 12 PIN positions has 10 choices. PINs like 123456789012 and 210987654321 are different, and repeated digits like 000000000000 are allowed, so the total is 10^12.

Worked steps

Show your work

  1. Inputs: n = 10, r = 12
  2. Formula: n^r
  3. Substitute: 10^12
  4. Steps: multiply 10 by itself 12 times
  5. Result: 10 choices for 12 ordered positions gives 1,000,000,000,000.

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Each of the 12 PIN positions has 10 choices. PINs like 123456789012 and 210987654321 are different, and repeated digits like 000000000000 are allowed, so the total is 10^12.

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