Exact result
120
The binomial coefficient C(10, 3) is 120.
10C3 counts unordered groups of 3 drawn from 10 distinct items. It is the same value as 10 choose 3.
Worked steps
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- Inputs: n = 10, r = 3
- Formula: C(n, r) = nCr = n! / r!(n - r)!
- Substitute: C(10, 3) = 10! / (3!(10-3)!)
- Steps: 3,628,800 / (6 x 5,040)
- Result: The binomial coefficient C(10, 3) is 120.
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10C3 counts unordered groups of 3 drawn from 10 distinct items. It is the same value as 10 choose 3.
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