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Number of Combinations in Combinatorics Formulas

Number of Combinations is defined as the total number of unique arrangements that can be made from a set of items, without regard to the order of the items. And is denoted by C.

Formulas to find Number of Combinations in Combinatorics

fxNo of Combinations of N Different Things taken R at once​Go
fxNo of Combinations of N Different Things taken R at once and Repetition Allowed​Go
fxNo of Combinations of N Different Things taken R at once given M Specific Things Always Occur​Go
fxNo of Combinations of N Different Things taken R at once given M Specific Things Never Occur​Go
fxNo of Combinations of N Different Things taken Atleast One at once​Go
fxnCr or C(n,r)​Go
fxNo of Combinations of N Identical Things taken Zero or more at once​Go
fxMaximum Value of nCr when N is Odd​Go
fxMaximum Value of nCr when N is Even​Go
fxNo of Combinations of N Different Things, P and Q Identical Things taken Atleast One at once​Go
fxNo of Combinations of (P+Q) Things into Two Groups of P and Q Things​Go
fxNo of Combinations of N Identical Things into R Different Groups if Empty Groups are Allowed​Go
fxNo of Combinations of N Identical Things into R Different Groups if Empty Groups are Not Allowed​Go

List of variables in Combinatorics formulas

fx Value of N ​Go
fx Value of R ​Go
fx Value of M ​Go
fx Value of N (Odd) ​Go
fx Value of P ​Go
fx Value of Q ​Go

FAQ

What is the Number of Combinations?
Number of Combinations is defined as the total number of unique arrangements that can be made from a set of items, without regard to the order of the items.
Can the Number of Combinations be negative?
{YesorNo}, the Number of Combinations, measured in {OutputVariableMeasurementName} {CanorCannot} be negative.
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