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Answers Permutation With Repetition Calculator

How many 6 digit PINs are possible?

This is permutation with repetition because the 6 PIN positions must be in a specific order and each position can use any digit from 0 through 9, including repeats.

Exact result

1,000,000

10 choices for 6 ordered positions gives 1,000,000.

Each of the 6 PIN positions has 10 choices. PINs like 123456 and 654321 are different, and repeated digits like 000000 are allowed. We use the classic permutation with repetition formula: n^r, so the total is 10^6.

Worked steps

Show your work

  1. Inputs: n = 10, r = 6
  2. Formula: n^r
  3. Substitute: 10^6
  4. Steps: multiply 10 by itself 6 times
  5. Result: 10 choices for 6 ordered positions gives 1,000,000.

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Each of the 6 PIN positions has 10 choices. PINs like 123456 and 654321 are different, and repeated digits like 000000 are allowed. We use the classic permutation with repetition formula: n^r, so the total is 10^6.

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