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SignalDesk AI Binomial Coefficient Calculator
x402
SignalDesk AI Binomial Coefficient Calculator is a paid API for AI agents from x402-agent.kariguetoazul.workers.dev, paid per call via x402, $0.001/call, status unknown (last checked 2026-10-13).
Computes the binomial coefficient C(n, k) — the number of ways to choose k items from n items — and returns the result as a string.
Price / call$0.001
Success—
StatusUnknown
How this service works
Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.
Output
A JSON object with a single field `combinations` containing the binomial coefficient C(n, k) as a numeric string (e.g. {"combinations": "120"} for C(10,3)=120).
Example use cases
Lottery combination count
“How many different 6-number combinations are possible from a pool of 49 numbers? Calculate C(49, 6) for me.”
Poker hand probability setup
“I'm building a poker odds tool — can you calculate how many 5-card hands can be dealt from a standard 52-card deck? That's C(52, 5).”
Team selection scenarios
“We have 20 candidates and need to pick a committee of 4. How many distinct committees are possible? Compute C(20, 4).”
Technical details
Endpoint
POSThttps://x402-agent.kariguetoazul.workers.dev/api/math/binomial?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need a precise integer computation of C(n,k) for combinatorics, probability, or statistics tasks. It is ideal for agents that need a fast, reliable, server-side calculation rather than relying on local math libraries. Useful when n and k are within 0–1000 and you require an exact large-integer result returned as a string.
Side effects
- k > n: mathematically undefined or returns 0 depending on implementation
- n or k outside 0–1000 range: request rejected due to schema maximum/minimum constraints
- missing required fields n or k: likely 400 Bad Request
- very large values of n close to 1000 may produce extremely large numbers that overflow typical integer representations
- payment failure via x402: request blocked if USDC payment not included or insufficient
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| k | integer | k. |
| n | integer | n. |
Output
Schema · Response
{
"type": "json",
"example": {
"combinations": "120"
}
}Tags
x402
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