ID EN
#Math

COMBINA

Excel Functions

Get number of combinations with repetitions

Syntax

EXCEL
=COMBINA(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 combinations as an integer

Details

The COMBINA function returns the number of combinations for a given number of items. A combination is a group of items where order does not matter. There are two kinds of combinations: The COMBINA function allows repetitions. To count combinations that do not allow repetitions, use the COMBIN function. To count permutations (combinations where order does matter) see the PERMUT function. A good real-world example is ordering a 3-scoop ice cream cone from 10 flavors: order does not matter and you can repeat flavors (three scoops of chocolate is fine), so this is a combination with repetition. For a full explanation, see Combinations and permutations in Excel. The COMBINA function takes two arguments: number, and number_chosen. Number is the number of different items available to choose from.

Examples

Example

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

EXCEL
=COMBINA(10,3) // returns 220
Example

In the example shown above, the formula in cell D6, copied down, is:

EXCEL
=COMBINA(B6,C6)

See Also

COMBIN COMBINA PERMUT PERMUTATIONA FACT