Excel COMBIN Function

The COMBIN function calculates the number of combinations for a given number of items.

Syntax

=COMBIN (number, number_chosen)

Arguments

Return value

The COMBIN function returns the number of combinations for a given number of items without repetitions.

Function notes

1. Repetitions are not allowed in the COMBIN function. To count combinations that allow repetitions, use the COMBINA function.
2. If any of the supplied arguments are non-integer numbers, the COMBIN function will truncate them to integers.
3. COMBIN function will return the #VALUE! error if any of the supplied arguments are non-numeric.
4. COMBIN function will return the #NUM! error if:
   • Number < 0
   • Number < Number_chosen
   • Number_chosen < 0
5. A combination is a set of items regardless of the combination’s internal order of items. If the internal order matters, use the PERMUT function, which also does not allow repetitions.

Examples

To calculate the number of combinations for the given number of items without repetitions in the below table, please copy the formulas below into cell E4 and E5 respectively and press the Enter key to get the results.

=COMBIN (B4, C4)

=COMBIN (D5, C5)

Note:

We can directly input the values of the two arguments in the formula. The two formulas above can be changed to:

=COMBIN (10, 2)

=COMBIN (33, 5)

Relative Functions:

• Excel ARABIC Function
  The Excel ARABIC function is used to convert roman numbers to Arabic numbers.

• Excel ROMANC Function
  The Excel ROMAN function converts an Arabic number to a Roman numeral as text.

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