Answers Permutation With Repetition Calculator

How many 11 digit PINs are possible?

This is permutation with repetition because the 11 PIN positions are ordered and each position can use any digit from 0 through 9, including repeats.

Exact result

100,000,000,000

10 choices for 11 ordered positions gives 100,000,000,000.

Each of the 11 PIN positions has 10 choices. PINs like 12345678901 and 10987654321 are different, and repeated digits like 00000000000 are allowed, so the total is 10^11.

Worked steps

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  1. Inputs: n = 10, r = 11
  2. Formula: n^r
  3. Substitute: 10^11
  4. Steps: multiply 10 by itself 11 times
  5. Result: 10 choices for 11 ordered positions gives 100,000,000,000.

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Each of the 11 PIN positions has 10 choices. PINs like 12345678901 and 10987654321 are different, and repeated digits like 00000000000 are allowed, so the total is 10^11.

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