combinatorics
Combinatorics Calculator (n!, nPr, nCr) — Factorial, permutations (nPr) and combinations (nCr) for non-negative integers.
This record as markdown: /tools/com-wingmanprotocol-agent-gateway/combinatorics.md
What combinatorics does on Gateway
AI agents call combinatorics to retrieve information from Gateway without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.
| Parameter | Type | Required | Description |
|---|---|---|---|
n | integer | Yes | Total number of items (non-negative integer) |
r | integer | — | Number chosen (for permutations/combinations) |
Parameters from the server's own tool schema.
Why combinatorics is rated Low
This is a pure mathematical calculation tool that retrieves or computes results based on input parameters without modifying any state, executing external code, or affecting data persistence. It falls squarely into the Read category as a computational query with no irreversible consequences.
From the tool's definition Combinatorics Calculator performs mathematical computations (factorial, permutations, combinations) on non-negative integers. No side effects, data modification, code execution, deletion, or financial operations are performed.
Attacks that exploit this kind of access
The rule that runs combinatorics safely
PolicyLayer is an MCP gateway: it sits between your AI agents and Gateway, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For combinatorics, this is the rule to start with:
combinatorics is read-only, so it stays allowed. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect Gateway, apply this rule, and every combinatorics call is checked against it from then on.
Questions about combinatorics
Combinatorics Calculator (n!, nPr, nCr) — Factorial, permutations (nPr) and combinations (nCr) for non-negative integers. It is categorised as a Read tool in the Gateway MCP Server, which means it retrieves data without modifying state.
combinatorics accepts 2 parameters: n, r. Required: n. The full parameter table on this page comes from the server's own tool schema.
Register the Gateway MCP server in PolicyLayer and add a rule for combinatorics: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches Gateway. Nothing to install.
combinatorics is a Read tool with low risk. Read-only tools are generally safe to allow by default.
Yes. Add a rate_limit block to the combinatorics rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.
Set action: deny in the PolicyLayer policy for combinatorics. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.
combinatorics is provided by the Gateway MCP server (https://wingmanprotocol.com/mcp). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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