Filemaker Pro 8.5 Educational Maintenance T3 TJ083LL/A User Manual

Chapter 9

  

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  Number functions     145

Combination(setSize;numberOfChoices) 

setSize - any numeric 

 or 

 containing a non-negative numeric 

expression.

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

expression.

number

Returns the number of ways to uniquely choose numberOfChoices items from a set of 

size setSize. The values returned by this function are referred to as combination 

coefficients. They form Pascal’s triangle. This function is useful in statistics, 
combinatorics, and polynomial expansions.

Combination(5;2) returns 

 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 

, which is the probability of being dealt a full-house in 5-card poker 

(less than a 1% chance).

Div(number;divisor)

number - any numeric 

 or 

divisor - any numeric expression or field containing a numeric expression

number

Combination

Factorial setSize, numberOfChoices

(

)

Factorial numberOfChoices

(

)

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