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#Statistical

PERMUTATIONA

Excel Functions

Get number of permutations with repetitions

Syntax

EXCEL
=PERMUTATIONA(number, number_chosen)

Arguments

Parameter Description
number The total number of items.
number_chosen The number of items in each combination.

Return Value

Number of permutations as an integer

Details

The Excel PERMUTATIONA function returns the number of permutations (combinations where order is significant) for a given number of items. The PERMUTATIONA function allows repetitions. To calculate the number of permutations without repetitions, use the PERMUT function. A permutation is a combination where order matters. In other words, a permutation is an ordered combination. There are two types of permutations: The PERMUTATIONA function calculates permutations where repetitions are allowed. To calculate permutations where repetitions are not allowed, use the PERMUT function. A good real-world example is a numeric code: a 3-digit code using the digits 0-9 allows values like 123, 321, and 111. Order matters and digits can repeat, so this is a permutation with repetition. For a full explanat

Examples

Example

To use PERMUTATIONA, specify the total number of items and "number_chosen", which represents the number of items in each combination. For example, to

EXCEL
=PERMUTATIONA(10,3) // returns 1000

See Also

COMBIN COMBINA PERMUT PERMUTATIONA FACT