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)
Number is the number of items.
Number chosen is the number of items in each combination.
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:
where:
Example
The example may be easier to understand if you copy it to a blank worksheet.
- Create a blank workbook or worksheet.
- Select the example in the Help topic. Do not select the row or column headers.
Selecting an example from Help
- Press CTRL+C.
- In the worksheet, select cell A1, and press CTRL+V.
- To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
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