Formula:KLS:01.03:05

<< Formula:KLS:01.03:04

formula in The shifted factorial and binomial coefficients

Formula:KLS:01.03:06 >>

${\displaystyle{\displaystyle{\displaystyle\binomial{n}{k}:=\frac{n!}{k!\,(n-k)!},\quad k=0,1,2,\ldots,n}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle n=0,1,2,\ldots}}}$

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \binom{n}{k}}}  : binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1

Bibliography

Equation in Section 1.3 of KLS.

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<< Formula:KLS:01.03:04

formula in The shifted factorial and binomial coefficients

Formula:KLS:01.03:06 >>