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Pascal's rule

combinatorial identity about binomial coefficients
Intangible theorem Q17099544
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Summary

Pascal's rule is a theorem[1]. It draws 633 Wikipedia views per month (theorem category, ranking #187 of 1,306).[2]

Key Facts

  • Named after: Blaise Pascal[3]
  • Different from: Pascal's law[4]
  • Maintained by WikiProject: WikiProject Mathematics[5]

Why It Matters

Pascal's rule has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[6] It is known by 15 alternative names across languages and contexts.[7]

Related Entities

Blaise Pascal

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [6] ↑ . Wikidata sitelinks. wikidata.org.
  3. [7] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Pascal's rule. Retrieved October 16, 2026, from https://4ort.xyz/entity/pascal-s-rule
MLA “Pascal's rule.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 2026, https://4ort.xyz/entity/pascal-s-rule.
BibTeX @misc{4ortxyz_pascal-s-rule_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pascal's rule}}, year = {2026}, url = {https://4ort.xyz/entity/pascal-s-rule}, note = {Accessed: 2026-10-16}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pascal's rule — https://4ort.xyz/entity/pascal-s-rule (retrieved 2026-10-16)

Canonical URL: https://4ort.xyz/entity/pascal-s-rule · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 5d ago · Charp238 · 2026-10-12 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Instance of → —
    Wikipedia languages → ['ar', 'bg', 'ca', 'cv', 'el', 'en', 'es', 'fa', 'it', 'ja', 'mk', 'pt', 'ru', '
    Instance of → theorem
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Defining formula: \binom{n-1}k+\binom{n-1}{k-1}=\binom nk"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.