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#Math

COMBIN

Excel Functions

Get number of combinations without repetitions

Syntax

EXCEL
=COMBIN(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 COMBIN function returns the number of combinations for a given number of items. A combination is a group of items where order does not matter. The COMBIN function does not allow repetitions. To count combinations that allow repetitions, use the COMBINA function. To count permutations (combinations where order does matter) see the PERMUT function. A good real-world example is a committee: choosing 3 people from a group of 10 is a combination because the order of the names does not matter, and no person can be chosen twice. For a full explanation, see Combinations and permutations in Excel. To use COMBIN, specify the total number of items and "number_chosen", which represents the number of items in each combination. For example, to calculate the number of 3-number combinations, you can u

Examples

Example

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

EXCEL
=COMBIN(10,3) // returns 120
Example

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

EXCEL
=COMBIN(B6,C6)

See Also

COMBIN COMBINA PERMUT PERMUTATIONA FACT