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What is 8C4?

This is a binomial coefficient question. C(8, 4), written as 8C4, is notation for a combination calculation without repetition. It is the same as choosing 4 items from 8 distinct items where order does not matter.

Exact result

70

The binomial coefficient C(8, 4) is 70.

8C4 counts unordered groups of 4 drawn from 8 distinct items. It is the same value as 8 choose 4.

Worked steps

Show your work

  1. Inputs: n = 8, r = 4
  2. Formula: C(n, r) = nCr = n! / r!(n - r)!
  3. Substitute: C(8, 4) = 8! / (4!(8-4)!)
  4. Steps: 40,320 / (24 x 24)
  5. Result: The binomial coefficient C(8, 4) is 70.

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8C4 counts unordered groups of 4 drawn from 8 distinct items. It is the same value as 8 choose 4.

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