Math and Trignometric - COMBIN Function

Description

The COMBIN function 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)

Arguments

Notes

• 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 −

  $$\binom{n}{k} = \frac{P_{k,n}}{k!} = \frac{n!}{k!\left ( n-k \right )!}$$

  Where,

  $$P_{k,n} = \frac{n!}{\left ( n-k \right )!}$$

• Numeric arguments are truncated to integers.

• If either of the arguments is nonnumeric, COMBIN returns the #VALUE! error value.

• If number < 0, number_chosen < 0, or number < number_chosen, COMBIN returns the #NUM! error value.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example