Reference > Functions reference > Number functions > Combination

Combination

Returns the number of unique ways to choose numberOfChoices items from a set of setSize.

Format

`Combination(setSize;numberOfChoices) `

Parameters

`setSize` - any numeric expression or field containing a non-negative numeric expression

`numberOfChoices` - any numeric expression or field containing a non-negative numeric expression

number

Originated in

FileMaker Pro 7.0

Description

This function is useful in statistics, combinatorics, and polynomial expansions. The values returned by this function are referred to as combination coefficients. They form Pascalâ€™s triangle.

Example 1

`Combination(5;2)` returns 10 for a set consisting of {a, b, c, d, e} because the unique choices when choosing two at a time are {ab, ac, ad, ae, bc, bd, be, cd, ce, de}.

Example 2

`(13 * 12 * Combination(4;2) * Combination(4;3)) / Combination(52;5)` returns 0.00144057..., which is the probability of being dealt a full-house in 5-card poker (less than a 1% chance).

Related topics

Functions reference (category list)

Functions reference (alphabetical list)