binomial coefficient

family of positive integers that occur as coefficients in the binomial theorem
Thing integer_valued_function Q209875
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binomial coefficient

Summary

binomial coefficient is an integer-valued function[1]. It draws 897 Wikipedia views per month (integer_valued_function category, ranking #2 of 7).[2]

Key Facts

  • binomial coefficient's instance of is recorded as integer-valued function[3].
  • binomial coefficient's GND ID is recorded as 4145586-1[4].
  • binomial coefficient's subclass of is recorded as non-negative integer[5].
  • binomial coefficient's part of is recorded as Pascal's triangle[6].
  • binomial coefficient's part of is recorded as binomial theorem[7].
  • binomial coefficient's Commons category is recorded as Binomial coefficients[8].
  • binomial coefficient's said to be the same as is recorded as number of combinations without repetition[9].
  • binomial coefficient's Freebase ID is recorded as /m/01h7m[10].
  • binomial coefficient's OEIS ID is recorded as A073354[11].
  • binomial coefficient's facet of is recorded as combination[12].
  • binomial coefficient's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary[13].
  • binomial coefficient's described by source is recorded as Encyclopedic Lexicon[14].
  • binomial coefficient's described by source is recorded as The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition[15].
  • binomial coefficient's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[16].
  • binomial coefficient's Encyclopædia Britannica Online ID is recorded as topic/binomial-coefficient[17].
  • binomial coefficient's different from is recorded as binomial number[18].
  • binomial coefficient's TeX string is recorded as \binom{n}{k}[19].
  • binomial coefficient's TeX string is recorded as {n \choose k}[20].
  • binomial coefficient's defining formula is recorded as \binom{n}{k} = \frac{n!}{k! (n - k)!}, 0 \leq k \leq n[21].
  • binomial coefficient's studied by is recorded as Q114701977[22].
  • binomial coefficient's MathWorld ID is recorded as BinomialCoefficient[23].
  • binomial coefficient's Quora topic ID is recorded as Binomial-Coefficients[24].
  • binomial coefficient's JSTOR topic ID is recorded as binomial-coefficients[25].
  • binomial coefficient's Open Library subject ID is recorded as binomial_coefficients[26].
  • binomial coefficient's maintained by WikiProject is recorded as WikiProject Mathematics[27].

Why It Matters

binomial coefficient draws 897 Wikipedia views per month (integer_valued_function category, ranking #2 of 7).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[28] It is known by 44 alternative names across languages and contexts.[29]

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.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). binomial coefficient. Retrieved May 3, 2026, from https://4ort.xyz/entity/binomial-coefficient
MLA “binomial coefficient.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/binomial-coefficient.
BibTeX @misc{4ortxyz_binomial-coefficient_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{binomial coefficient}}, year = {2026}, url = {https://4ort.xyz/entity/binomial-coefficient}, note = {Accessed: 2026-05-03}}
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