{
  "software": "apple-numbers",
  "function": "PERMUT",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://support.apple.com/guide/functions/permut-ffa5a262aa/15.4/web/1.0",
  "passed": 5,
  "total": 5,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(3,2)",
      "variables": {},
      "expected": 6,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(5,3)",
      "variables": {},
      "expected": 60,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(4,0)",
      "variables": {},
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(8,2)",
      "variables": {},
      "expected": 56,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(10,4)",
      "variables": {},
      "expected": 5040,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 239,
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(3,2)",
      "actual_independent_model": 6,
      "expected": 6,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 240,
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(5,3)",
      "actual_independent_model": 60,
      "expected": 60,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 241,
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(4,0)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 242,
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(8,2)",
      "actual_independent_model": 56,
      "expected": 56,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 243,
      "software": "apple-numbers",
      "function": "PERMUT",
      "expression": "=PERMUT(10,4)",
      "actual_independent_model": 5040,
      "expected": 5040,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}