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Ordered samples without replacement · case 02
Unordered selection drops permutation multiplicity.
Case contract
Nonnegative integer counts. Permutation and combination counts are zero when a requested selection exceeds the available objects. Shape sizes satisfy the preconditions stated below. Ordered samples without replacement. Exact operational definition: math.perm(n,k)
Why this case matters
Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Combinatorics results depend on the stated convention.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| fixture 1: (5, 2) | 10 | 20 | Failed |
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