Exact result
54,264
The binomial coefficient C(21, 6) is 54,264.
21C6 counts unordered groups of 6 drawn from 21 distinct items. It is the same value as 21 choose 6.
Worked steps
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- Inputs: n = 21, r = 6
- Formula: C(n, r) = nCr = n! / r!(n - r)!
- Substitute: C(21, 6) = 21! / (6!(21-6)!)
- Steps: 51,090,942,171,709,440,000 / (720 x 1,307,674,368,000)
- Result: The binomial coefficient C(21, 6) is 54,264.
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21C6 counts unordered groups of 6 drawn from 21 distinct items. It is the same value as 21 choose 6.
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