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Excel COMBIN Function

Excel COMBIN function
Summary 

The Excel COMBIN function returns the number of combinations for a given number of items. The COMBIN function does not allow repetitions. To count combinations that allow repetitions, use the COMBINA function.

Purpose 
Get number of combinations without repetitions
Return value 
Number of combinations as an integer
Syntax 
=COMBIN (number, number_chosen)
Arguments 
  • number - The total number of items.
  • number_chosen - The number of items in each combination.
Version 
Usage notes 

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.

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 calculate the number of 3-number combinations, you can use a formula like this:

=COMBIN(10,3) // returns 120

The number argument is 10 since there are ten numbers between 0 and 9, and and number_chosen is 3, since there are three numbers chosen in each combination. This result can be seen in cell D8 in the example shown.

Notes

  • A combination is a group of items in any order. If order matters, use the PERMUT function.
  • Arguments that contain decimal values are truncated to integers.
  • COMBIN returns a #VALUE! error value if either argument is not numeric.
  • If number is less than number chosen, COMBIN returns #NUM!

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