## Finite set |

in

, amathematics **finite set**is a that has aset finite number of . informally, a finite set is a set which one could in principle count and finish counting. for example,elements is a finite set with five elements. the number of elements of a finite set is a

(anatural number non-negative ) and is called theinteger of the set. a set that is not finite is calledcardinality . for example, the set of all positive integers is infinite:infinite finite sets are particularly important in

, the mathematical study ofcombinatorics . many arguments involving finite sets rely on thecounting , which states that there cannot exist anpigeonhole principle from a larger finite set to a smaller finite set.injective function - definition and terminology
- basic properties
- necessary and sufficient conditions for finiteness
- foundational issues
- set-theoretic definitions of finiteness
- see also
- notes
- references
- external links

In **finite set** is a

is a finite set with five elements. The number of elements of a finite set is a ** infinite**. For example, the set of all positive integers is infinite:

Finite sets are particularly important in