# Disjoint sets

## Sets with no element in common / From Wikipedia, the free encyclopedia

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This article is about the mathematical concept. For the data structure, see Disjoint-set data structure.

In set theory in mathematics and formal logic, two sets are said to be **disjoint sets** if they have no element in common. Equivalently, two disjoint sets are sets whose intersection is the empty set.^{[1]} For example, {1, 2, 3} and {4, 5, 6} are *disjoint sets,* while {1, 2, 3} and {3, 4, 5} are not disjoint. A collection of two or more sets is called disjoint if any two distinct sets of the collection are disjoint.