binomial coefficient

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-11.4

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https://metanorma.github.io/isq-smart/math/part-2-11/t2-11.4
urn:iso:std:iso:80000:-2:ed-2:en:item:2-11.4

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-11.4

IEC

urn:iec:std:iec:80000-2:2019:::item:2-11.4

Designations

ENbinomial coefficient

FRcoefficient binomial

Symbol

(\begin{matrix} n \\ k \end{matrix})

Notation systems

AsciiMath

((n),(k))

LaTeX

\left (\begin{matrix}n \\ k\end{matrix}\right )

Definition

binomial coefficient

coefficient binomial

$(\begin{matrix} n \\ k \end{matrix}) = \frac{n!}{k! (n - k)!}$ (for $0 \leq k \leq n$ )

$(\begin{matrix} n \\ k \end{matrix}) = \frac{n!}{k! (n - k)!}$ (pour $0 \leq k \leq n$ )

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-11.4

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-11.4
skosxl:prefLabel	"binomial coefficient"@en
skosxl:altLabel	"((n),(k))"@en
skos:definition	binomial coefficient
skos:note	stem:[((n),(k)) = (n!)/(k!(n-k)!)] (for stem:[0<=k<=n])
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-11