# Subset

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### Dictionary Meaning and Definition on 'Subset'

Subset Meaning and Definition from WordNet (r) 2.0
subset n : a set whose members are members of another set; a set contained within another set
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### Wikipedia Meaning and Definition on 'Subset'

In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment. Correspondingly, set B is a superset of A since all elements of A are also elements of B.

If A and B are sets and every element of A is also an element of B, then:

If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B not contained in A), then

For any set S, the inclusion relation ⊆ is a partial order on the set of all subsets of S (the power set of S).

[See more about Subset at Dictionary 3.0 Encyclopedia]

### 'Subset' in famous quotation sentence

* It's counter to common sense, but common sense is only based on a very small subset of the universe. - Ian J. Davenport