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Mathematics / Relations

Mathematics / Relations

A relation is a set of ordered pairs. A relation ‘R’ from ‘A’ to ‘B’ is a subset of the cartesian product A × B. If A = B, then R is said to be a relation on ‘A’.
R ⊆ A × B, i.e. R = {(a,b):a ∈ A, b ∈ B and aRb}.
The different kinds of relations that can exist between two sets are:

  • One to One: Each element of domain is mapped to only one element of the range.
  • Many to One: Every element of range is mapped to one or more elements of the domain.
  • One to many: Every element of domain is mapped to one or more elements of the range
  • None: There is no relation between the elements of the domain and the elements of the range

Topics
Topics
    • Relations
    • Types of Relations

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