b
binomial coefficient
Family of positive integers that occur as coefficients in the binomial theorem
Also known as n choose k · choose
- Instance of
- Subclass of
- Part of
Overview
All data
32 statements · 9% with external sources · numbers in brackets are citations
- TeX string
- \binom{n}{k}
- {n \choose k}
- Defining formula
\binom{n}{k} = \frac{n!}{k! (n - k)!}, 0 \leq k \leq n
- In defining formula
\binom{n}{k}symbol represents: binomial coefficientn!symbol represents: factorial
On other databases
19 identifiers linking binomial coefficient across the web's reference databases
- Digital Library of Mathematical Functions ID1.2.i
- Encyclopædia Britannica Online IDtopic/binomial-coefficient
- Encyclopedia of Mathematics article IDBinomial_coefficients
- Fandom article IDmath:Binomial_coefficient
- Freebase ID/m/01h7m
- GND ID4145586-1
- JSTOR topic ID (archived)binomial-coefficients
- Lex IDbinomialkoefficient
- MathWorld IDBinomialCoefficient
- Metamath statement IDdf-bc
- Microsoft Academic ID (discontinued)34718186
- OEIS IDA073354
- Online PWN Encyclopedia ID3947031
- Open Library subject IDbinomial_coefficients
- OpenAlex IDC34718186
- PlanetMath IDBinomialCoefficient
- ProofWiki IDDefinition:Binomial_Coefficient
- Quora topic IDBinomial-Coefficients
- Treccani's Enciclopedia della Matematica IDcoefficiente-binomiale