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What is C(12, 5)?

This is a binomial coefficient question, which is the same count as choosing 5 items from 12 distinct items without repetition and without regard to order.

Exact result

792

The binomial coefficient C(12, 5) is 792.

C(12, 5) counts unordered groups of 5 drawn from 12 distinct items. It is the same value as 12 choose 5.

Worked steps

Show your work

  1. Inputs: n = 12, r = 5
  2. Formula: C(n, r) = nCr = n! / r!(n - r)!
  3. Substitute: C(12, 5) = 12! / (5!(12-5)!)
  4. Steps: 479,001,600 / (120 x 5,040)
  5. Result: The binomial coefficient C(12, 5) is 792.

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C(12, 5) counts unordered groups of 5 drawn from 12 distinct items. It is the same value as 12 choose 5.

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