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FILEMAKER PRO HELP 866
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
Data type returned
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 Pascal’s triangle.
Examples
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}.
(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)
About formulas
About functions
Defining calculation fields
Using operators in formulas
Div
Purpose
Returns the next lowest integer value after dividing number by divisor. Equivalent to
Floor(number/divisor).
Format
Div(number;divisor)
Combination
Factorial setSize, numberOfChoices()
Factorial numberOfChoices()
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