COMBIN

Returns the number of combinations for a given number of items. Use COMBIN to determine the total possible number of groups for a given number of items.

Syntax

COMBIN(number, number_chosen)  

Parameters

Term Definition
number The number of items.
number_chosen The number of items in each combination.

Return value

Returns the number of combinations for a given number of items.

Remarks

Numeric arguments are truncated to integers.

If either argument is nonnumeric, COMBIN returns the #VALUE! error value.

If number < 0, number_chosen < 0, or number < number_chosen, COMBIN returns the #NUM! error value.

A combination is any set or subset of items, regardless of their internal order. Combinations are distinct from permutations, for which the internal order is significant.

The number of combinations is as follows, where number = n and number_chosen = k:

combin formula

Where

combin formula result

Example

Formula Description Result
=COMBIN(8,2) Possible two-person teams that can be formed from 8 candidates. 28