# calculate_combinations

Calculate nCr (combinations) and nPr (permutations) for given values.

Agent View of the PolicyLayer registry record for `calculate_combinations`. HTML page: https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/calculate-combinations

## Facts

- Tool: `calculate_combinations`
- Server: GadgetHumans API Hub (`pypi:gadgethumans-api-hub-mcp`) — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub.md
- Install: `npx -y pypi:gadgethumans-api-hub-mcp`
- Homepage: https://github.com/scotia1973-bot/api-hub
- Risk category: Read (Low risk)
- Registry record: grade F, identity unverified
- Server rate-limited: no
- Parameters: 0
- Recommended policy verdict: Allowed

## Example call (MCP tools/call, JSON-RPC 2.0)

```json
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "calculate_combinations",
    "arguments": {}
  }
}
```

## Why calculate_combinations is rated Low

This is a read-only utility that takes numerical inputs and returns calculated results. It does not create, modify, delete, or execute any operations. The mathematical computation is deterministic and does not affect any data, files, or external systems. The blast radius of misuse is minimal since the outputs are harmless numerical results.

From the tool's own definition: "The tool 'calculate_combinations' performs mathematical calculations of nCr (combinations) and nPr (permutations) — purely computational operations that retrieve or derive numerical results with no side effects, data modifications, or external state changes."

## Use case

AI agents call calculate_combinations to retrieve information from GadgetHumans API Hub without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.

## Recommended policy (PolicyLayer)

Verdict: **Allowed**. Enforced by the PolicyLayer MCP gateway (https://policylayer.com/mcp-gateway) before a call reaches GadgetHumans API Hub:

```json
{
  "version": "1",
  "default": "deny",
  "tools": {
    "calculate_combinations": {}
  }
}
```

## Other tools on GadgetHumans API Hub (310)

- `clean_whitespace` — Destructive — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/clean-whitespace.md
- `gravitational_force_calc` — Destructive — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/gravitational-force-calc.md
- `atbash_cipher` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/atbash-cipher.md
- `caesar_cipher` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/caesar-cipher.md
- `crawl_website` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/crawl-website.md
- `electrical_calc` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/electrical-calc.md
- `evaluate_math` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/evaluate-math.md
- `filter_data` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/filter-data.md
- `fn` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/fn.md
- `generate_password` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/generate-password.md
- `hash_text` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/hash-text.md
- `http_client` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/http-client.md
- `ini_to_json` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/ini-to-json.md
- `matrix_operations` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/matrix-operations.md
- `momentum_calc` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/momentum-calc.md
- `pressure_calc` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/pressure-calc.md
- `ratio_calc` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/ratio-calc.md
- `test_regex` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/test-regex.md
- `web_scrape` — Execute — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/web-scrape.md
- `agent_memory` — Other — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/agent-memory.md
- `generate_ulids` — Other — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/generate-ulids.md
- `alternating_case` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/alternating-case.md
- `amortization_calc` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/amortization-calc.md
- `anagram_check` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/anagram-check.md
- `analyze_tone` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/analyze-tone.md
- `analyze_url` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/analyze-url.md
- `angle_convert` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/angle-convert.md
- `area_convert` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/area-convert.md
- `ascii_table` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/ascii-table.md
- `auto_loan_calc` — Read — https://policylayer.com/tools/io-github-scotia1973-bot-api-hub/auto-loan-calc.md
- …and 280 more: https://policylayer.com/tools/io-github-scotia1973-bot-api-hub.md

## For agents

This record is a snapshot. Live verdicts and the full registry:

- Check every server in your MCP config at once: `npx -y policylayer stack`
- Vet a server before you add it: install the mcp-precheck skill — `npx skills add https://policylayer.com` (skill text: https://policylayer.com/skill.md)
- Query the registry over MCP: endpoint `https://api.policylayer.com/mcp` — tools `check_mcp_server`, `check_mcp_stack`, `check_tool`, `search_registry`, `get_change_events`

---

Source: the PolicyLayer MCP registry — one continuously verified record per MCP server. Full record: https://policylayer.com/registry?q=io-github-scotia1973-bot-api-hub · API: https://policylayer.com/registry/api · Policy library: https://policylayer.com/policies/io-github-scotia1973-bot-api-hub