Exact result
20
6 choose 3 without repeats is 20.
6 choose 3 counts unique groups of 3 drawn from 6 distinct items. Reordering the same 3 chosen items does not create a new group.
Worked steps
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- Inputs: n = 6, r = 3
- Formula: C(n, r) = n! / (r!(n-r)!)
- Substitute: C(6, 3) = 6! / (3!(6-3)!)
- Steps: 720 / (6 x 6)
- Result: 6 choose 3 without repeats is 20.
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6 choose 3 counts unique groups of 3 drawn from 6 distinct items. Reordering the same 3 chosen items does not create a new group.
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