Difference between revisions of "BinomialCoefficient Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} |
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;BinomialCoefficient[ <Number>, <Number> ] | ;BinomialCoefficient[ <Number>, <Number> ] | ||
: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>. The first Number represents all elements ''n'' and the second Number represents the selected elements ''r''. | ||
:{{example|1=<div><code><nowiki>BinomialCoefficient[5, 3]</nowiki></code> yields ''10''.</div>}} | :{{example|1=<div><code><nowiki>BinomialCoefficient[5, 3]</nowiki></code> yields ''10''.</div>}} | ||
| − | + | ||
| − | + | :{{hint|1= | |
| − | : | + | 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. |
| − | :{{example|1=<div><code><nowiki>BinomialCoefficient[n, 3]</nowiki></code> yields <math>\frac{n^{3} - 3 n^{2} + 2 n}{6}</math>.</div>}} | + | ::{{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]].}} | ||
Revision as of 09:35, 27 August 2015
- 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.
