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)

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:

Equation

where:

Equation

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  • Create a blank workbook or worksheet.
  • Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  • Press CTRL+C.
  • In the worksheet, select cell A1, and press CTRL+V.
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Formula Description (Result)
=COMBIN(8,2) Possible two-person teams that can be formed from 8 candidates (28)
 
 
Applies to:
Excel 2003