Difference between revisions of "BinomialCoefficient Command"

Latest revision as of 11:07, 11 October 2017

BinomialCoefficient( <Number>, <Number> ): Calculates the binomial coefficient n \choose r . The first Number represents all elements n and the second Number represents the selected elements r.; Example: BinomialCoefficient(5, 3) yields 10.

Hint: If your input in the

CAS View contains undefined variables, then this command yields a formula for the binomial coefficient.

Example: BinomialCoefficient(n, 3) yields \frac{n^{3} - 3 n^{2} + 2 n}{6}.

Note: See also NPr command.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
-{{command|cas=true|algebra}}
+;BinomialCoefficient( <Number>, <Number> )
-;BinomialCoefficient[ <Number n>, <Number r>]
+:Calculates the binomial coefficient <math> n \choose r </math>. The first Number represents all elements ''n'' and the second Number represents the selected elements ''r''.
-:Calculates the binomial coefficient <math> n \choose r </math>.
+:{{example|1=<code><nowiki>BinomialCoefficient(5, 3)</nowiki></code> yields ''10''.}}
-:{{example|1=<div><code><nowiki>BinomialCoefficient[5, 3]</nowiki></code> yields ''10''.</div>}}
-==CAS Syntax==
+:{{hint|1=
-;BinomialCoefficient[ <Number n>, <Number r>]
+If your input in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] contains undefined variables, then this command yields a formula for the binomial coefficient.
-:Calculates the binomial coefficient <math> n \choose r </math>. If you type undefined variables instead of numbers it yields a formula for the binomial coefficient.
+::{{example|1=<code><nowiki>BinomialCoefficient(n, 3)</nowiki></code> yields <math>\frac{n^{3} - 3 n^{2} + 2 n}{6}</math>.}}
-:{{example|1=<div><code><nowiki>BinomialCoefficient[n, 3]</nowiki></code> yields <math>\frac{n^{3} - 3 n^{2} + 2 n}{6}</math>.</div>}}
+}}
-{{Note|1= See also [[nPr Command|nPr command]].}}
+{{Note|1= See also [[nPr Command|NPr command]].}}