COMBIN
Applies to:
Calculated column
Calculated table
Measure
Visual calculation
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)
Parameters
Term | Definition |
---|---|
number | The number of items. |
number_chosen | The number of items in each combination. |
Return value
Returns the number of combinations for a given number of items.
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 = $k$:
$${n \choose k} = \frac{P_{k,n}}{k!} = \frac{n!}{k!(n-k)!}$$
Where
$$P_{k,n} = \frac{n!}{(n-k)!}$$
This function is not supported for use in DirectQuery mode when used in calculated columns or row-level security (RLS) rules.
Example
Formula | Description | Result |
---|---|---|
= COMBIN(8,2) | Possible two-person teams that can be formed from 8 candidates. | 28 |
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