Exact result
2,300
The binomial coefficient C(25, 3) is 2,300.
25C3 counts unordered groups of 3 drawn from 25 distinct items. It is the same value as 25 choose 3.
Worked steps
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- Inputs: n = 25, r = 3
- Formula: C(n, r) = nCr = n! / r!(n - r)!
- Substitute: C(25, 3) = 25! / (3!(25-3)!)
- Steps: 15,511,210,043,330,985,984,000,000 / (6 x 1,124,000,727,777,607,680,000)
- Result: The binomial coefficient C(25, 3) is 2,300.
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25C3 counts unordered groups of 3 drawn from 25 distinct items. It is the same value as 25 choose 3.
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