Definition and Terminology
Formally, a set S is called finite if there exists a bijection
for some natural number n. The number n is called the cardinality of the set, and is denoted |S|. (Note that the empty set is considered finite, with cardinality zero.) If a set is finite, its elements may be written as a sequence:
In combinatorics, a finite set with n elements is sometimes called an n-set and a subset with k elements is called a k-subset. For example, the set {5,6,7} is a 3-set, a finite set with three elements, and {6,7} is a 2-subset of it.
Read more about this topic: Finite Set
Famous quotes containing the word definition:
“No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
—Florence Nightingale (1820–1910)