## Combination(n, p)

##### Last updated July 18, 2001

**Version:** 1 |
**Requires:** CF5 |
**Library:** MathLib

**Description:**

Returns the Combination of n elements taken p at a time.

**Return Values:**

Returns a simple value

**Example:**

```
<CFSET n=13>
<CFSET p=2>
<CFOUTPUT>
Given n=13, p=2
Combination(n,p) is #Combination(n,p)#
</CFOUTPUT>
```

**Parameters:**

Name | Description | Required |
---|---|---|

n | Any non-negative integer | Yes |

p | any non-negative integer, <= n | Yes |

**Full UDF Source: **

```
/**
* Returns the Combination of n elements taken p at a time.
* This funciton requires the Permutation() and Factorial() functions from this library.
*
* @param n Any non-negative integer
* @param p any non-negative integer, <= n
* @return Returns a simple value
* @author Joel Cox (jlcox@goodyear.com)
* @version 1, July 18, 2001
*/
function Combination(n,p)
{
var RetVal = 0;
if (p GT n) {
RetVal = "undefined";
}
else
RetVal = Permutation(n,p) / Factorial(p);
Return RetVal;
}
```

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