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AI Combinatorics (nCr, nPr) & Binomial Probability Calculator

Calculates exact Combinations (nCr / Binomial Coefficient), Permutations (nPr), and event probabilities.

Call it (no API key)

GET https://api.agentdatahub.de/api/v1/call/ai-tool-combinatorics-probability?n=49&k=6&compact=1

Full metadata: without compact=1 · Markdown: format=llm · Only some fields: add &fields=a,b.c · MCP: tool call_api with {"apiId":"ai-tool-combinatorics-probability"}

Parameters

Example response (live, compact)

{
  "apiId": "ai-tool-combinatorics-probability",
  "data_freshness": "live",
  "data": {
    "tool": "ai-tool-combinatorics-probability",
    "n": 49,
    "k": 6,
    "combinations_nCr": 13983816,
    "permutations_nPr": 10068347520,
    "single_ticket_probability": 7.151124e-8,
    "odds_1_in": 13983816
  },
  "source": "100% Platform-Native Deterministic AI Core Utility (<1ms)",
  "license": "100% Platform-Owned Deterministic Algorithm (Commercial Use Allowed)"
}

Source & license