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How many combinations of 12 items taken 2 at a time are there?

Because order does not matter and each item is used at most once, this is nCr with n = 12 and r = 2.

Exact result

66

12 choose 2 without repeats is 66.

This is the count of unique pairs you can build from 12 distinct items.

Worked steps

Show your work

  1. Inputs: n = 12, r = 2
  2. Formula: C(n, r) = n! / (r!(n-r)!)
  3. Substitute: C(12, 2) = 12! / (2!(12-2)!)
  4. Steps: 479,001,600 / (2 x 3,628,800)
  5. Result: 12 choose 2 without repeats is 66.

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This is the count of unique pairs you can build from 12 distinct items.

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