{
  "software": "apple-numbers",
  "function": "COMBINA",
  "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/combina-faf34e4113/15.4/web/1.0",
  "passed": 5,
  "total": 5,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(3,2)",
      "variables": {},
      "expected": 6,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(5,3)",
      "variables": {},
      "expected": 35,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(4,0)",
      "variables": {},
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(8,2)",
      "variables": {},
      "expected": 36,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(10,4)",
      "variables": {},
      "expected": 715,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 97,
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(3,2)",
      "actual_independent_model": 6,
      "expected": 6,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 98,
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(5,3)",
      "actual_independent_model": 35,
      "expected": 35,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 99,
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(4,0)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 100,
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(8,2)",
      "actual_independent_model": 36,
      "expected": 36,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 101,
      "software": "apple-numbers",
      "function": "COMBINA",
      "expression": "=COMBINA(10,4)",
      "actual_independent_model": 715,
      "expected": 715,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}