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What is 15C5?

This is a binomial coefficient question. 15C5 means choosing 5 items from 15 distinct items without repetition and without regard to order.

Exact result

3,003

The binomial coefficient C(15, 5) is 3,003.

15C5 counts unordered groups of 5 drawn from 15 distinct items. It is the same value as 15 choose 5.

Worked steps

Show your work

  1. Inputs: n = 15, r = 5
  2. Formula: C(n, r) = nCr = n! / r!(n - r)!
  3. Substitute: C(15, 5) = 15! / (5!(15-5)!)
  4. Steps: 1,307,674,368,000 / (120 x 3,628,800)
  5. Result: The binomial coefficient C(15, 5) is 3,003.

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15C5 counts unordered groups of 5 drawn from 15 distinct items. It is the same value as 15 choose 5.

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