Chapter 1 Relations and Functions

  1. Introduction to Relation and no. of relations
  2. A relation R between two non-empty sets A and B is a subset of their Cartesian product A × B.
  3. If A = B, then the relation R on A is a subset of A × A.
  4. The total number of relations from a set consisting of m elements to a set consisting of n elements is 2mn.
  5. If (a, b) belongs to R, then a is related to b and is written as ‘a R b’. If (a, b) does not belong to R, then a is not related to b and it is written as