{
  "software": "gnumeric",
  "function": "MULTINOMIAL",
  "review_date": "2026-10-12",
  "validation_method": "Independent Python numeric and limited database-criteria models; not a native application or a general spreadsheet parser. Error tokens model documented rules only.",
  "native_application_execution": false,
  "hugo_compiled": false,
  "passed": 9,
  "total": 9,
  "scope": "Explicit examples only, not every input or application version. Expected error tokens are documented rules, not observed native error outputs.",
  "official_references": [
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/CATEGORY_Mathematics.html#gnumeric-function-MULTINOMIAL",
    "https://support.microsoft.com/pt-br/excel/functions/multinomial-function"
  ],
  "examples": [
    {
      "case_id": 174,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=MULTINOMIAL(A2,B2,C2)",
      "operation": "multinomial",
      "args": [
        3,
        2,
        1
      ],
      "expected": 60,
      "native_executed": false,
      "model_result": 60,
      "passed": true
    },
    {
      "case_id": 175,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=MULTINOMIAL(A3,B3,C3)",
      "operation": "multinomial",
      "args": [
        2,
        1,
        1
      ],
      "expected": 12,
      "native_executed": false,
      "model_result": 12,
      "passed": true
    },
    {
      "case_id": 176,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=MULTINOMIAL(A4,B4,C4)",
      "operation": "multinomial",
      "args": [
        2,
        2,
        2
      ],
      "expected": 90,
      "native_executed": false,
      "model_result": 90,
      "passed": true
    },
    {
      "case_id": 177,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=MULTINOMIAL(A5,B5,C5)",
      "operation": "multinomial",
      "args": [
        1,
        1,
        1
      ],
      "expected": 6,
      "native_executed": false,
      "model_result": 6,
      "passed": true
    },
    {
      "case_id": 178,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=MULTINOMIAL(A6,B6,C6)",
      "operation": "multinomial",
      "args": [
        2,
        1,
        0
      ],
      "expected": 3,
      "native_executed": false,
      "model_result": 3,
      "passed": true
    },
    {
      "case_id": 179,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=MULTINOMIAL(A7,B7,C7)",
      "operation": "multinomial",
      "args": [
        4,
        2,
        1
      ],
      "expected": 105,
      "native_executed": false,
      "model_result": 105,
      "passed": true
    },
    {
      "case_id": 180,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "=FACT(SUM(A2:C2))/(FACT(A2)*FACT(B2)*FACT(C2))",
      "operation": "multinomial",
      "args": [
        3,
        2,
        1
      ],
      "expected": 60,
      "native_executed": false,
      "model_result": 60,
      "passed": true
    },
    {
      "case_id": 181,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "COMBINA(3,6)",
      "operation": "combina",
      "args": [
        3,
        6
      ],
      "expected": 28,
      "native_executed": false,
      "model_result": 28,
      "passed": true
    },
    {
      "case_id": 182,
      "software": "gnumeric",
      "function": "MULTINOMIAL",
      "source_path": "content/gnumeric/functions/multinomial.md",
      "formula": "COMBIN(6,3)",
      "operation": "combin",
      "args": [
        6,
        3
      ],
      "expected": 20,
      "native_executed": false,
      "model_result": 20,
      "passed": true
    }
  ]
}