{
  "software": "apple-numbers",
  "function": "COMBIN",
  "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/combin-ffa5906f26/15.4/web/1.0",
  "passed": 5,
  "total": 5,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(3,2)",
      "variables": {},
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(5,3)",
      "variables": {},
      "expected": 10,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(4,0)",
      "variables": {},
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(8,2)",
      "variables": {},
      "expected": 28,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(10,4)",
      "variables": {},
      "expected": 210,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 92,
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(3,2)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 93,
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(5,3)",
      "actual_independent_model": 10,
      "expected": 10,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 94,
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(4,0)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 95,
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(8,2)",
      "actual_independent_model": 28,
      "expected": 28,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 96,
      "software": "apple-numbers",
      "function": "COMBIN",
      "expression": "=COMBIN(10,4)",
      "actual_independent_model": 210,
      "expected": 210,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}