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Answers Permutation With Repetition Calculator

How many 4 digit PINs are possible?

This is permutation with repetition because the 4 PIN positions are ordered and each position can use any digit from 0 through 9, including repeats.

Exact result

10,000

10 choices for 4 ordered positions gives 10,000.

Each of the 4 PIN positions has 10 choices. PINs like 1234 and 4321 are different, and repeated digits like 0000 are allowed, so the total is 10^4.

Worked steps

Show your work

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

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Each of the 4 PIN positions has 10 choices. PINs like 1234 and 4321 are different, and repeated digits like 0000 are allowed, so the total is 10^4.

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