Exact result
120
10 choose 3 without repeats is 120.
10 choose 3 counts unique groups of 3 drawn from 10 distinct items. Switching the order of the chosen items does not create a new group.
Worked steps
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- Inputs: n = 10, r = 3
- Formula: C(n, r) = n! / (r!(n-r)!)
- Substitute: C(10, 3) = 10! / (3!(10-3)!)
- Steps: 3,628,800 / (6 x 5,040)
- Result: 10 choose 3 without repeats is 120.
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10 choose 3 counts unique groups of 3 drawn from 10 distinct items. Switching the order of the chosen items does not create a new group.
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