Difference between revisions of "BinomialCoefficient Command"
From GeoGebra Manual
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| − | ;BinomialCoefficient[ <Number | + | ;BinomialCoefficient[ <Number>, <Number> ] |
| − | :Calculates the binomial coefficient <math> n \choose r </math>. | + | :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>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;BinomialCoefficient[ <Number | + | ;BinomialCoefficient[ <Number>, <Number> ] |
| − | :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. | + | :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''. If you type undefined variables instead of numbers it 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 15:50, 19 April 2013
- 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.
CAS Syntax
- 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. If you type undefined variables instead of numbers it 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.
