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Excel COMBINA Function

The COMBINA function calculates the number of combinations for a specified number of items with repetitions allowed.

combina function 1


Syntax

=COMBINA (number, number_chosen)


Arguments

  • Number (required): The total number of items (must be ≥ 0).
  • Number_chosen (required): The number of items in each combination (must be ≥ 0).

Return value

The COMBINA function returns a positive numeric value.


Function notes

  1. Repetitions are allowed in the COMBINA function. To count combinations that forbid repetitions, use the COMBIN function.
  2. If any of the supplied arguments are non-integer numbers, the COMBINA function will truncate them to integers.
  3. COMBINA function will return the #VALUE! error if any of the supplied arguments are non-numeric.
  4. COMBINA 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 PERMUTATIONA function, which also allows repetitions.

Examples

To calculate the number of combinations for the given number of items with 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.

=COMBINA (B4, C4)

=COMBINA (B5, C5)

combina function 2

combina function 3

Note:

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

=COMBINA (10, 2)

=COMBINA (33, 5)

Relative Functions:


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