{"uid":"cap_QD6kjrHu4h2l0pWwPZuAH","slug":"signaldesk-ai-binomial-coefficient-calculator-3bec5aea","name":"SignalDesk AI Binomial Coefficient Calculator","description":"Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.","url":"https://x402-agent.kariguetoazul.workers.dev/api/math/binomial?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"k":{"type":"integer","maximum":1000,"minimum":0,"description":"k."},"n":{"type":"integer","maximum":1000,"minimum":0,"description":"n."}}},"responseSchema":{"type":"json","example":{"combinations":"120"}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_9c0Hfse9X08wQbfRH_H0t","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"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.","exampleAgentPrompt":"What is 10 choose 3? I need the exact number of combinations — use the binomial coefficient calculator with n=10 and k=3.","exampleUseCases":[{"title":"Lottery combination count","prompt":"How many different 6-number combinations are possible from a pool of 49 numbers? Calculate C(49, 6) for me."},{"title":"Poker hand probability setup","prompt":"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)."},{"title":"Team selection scenarios","prompt":"We have 20 candidates and need to pick a committee of 4. How many distinct committees are possible? Compute C(20, 4)."}],"resultDescription":"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).","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T00:42:08.601Z","isFirstParty":false,"canonicalSlug":"signaldesk-ai-binomial-coefficient-calculator-3bec5aea"}