Ordered Pairs and Cartesian Product


   
 
Types of Relations
There are four types of relations as follows:
 
(i) one - one
 
(ii) many - one
 
(iii) one - many
 
(iv) many - many
 
(i) one - one
 
For each element of B there is one corresponding element of A
 
 
(ii) many - one
 
For an element of B there is more than one element of A.
 
 
(iii) one - many
 
For one element of A there is more than one corresponding element of B.
 
 
(iv) many - many
 
For one element of A there is more than one corresponding element of B and for one element of B there is more than one corresponding element of A.
 
 
The relation is called 'onto' if every element of B has a corresponding element of A.
 
For example, Figures (i) and (ii) are onto relations.
 
The relation is called 'into' if every element of B does not have a corresponding element of A.
 
For example, Figures (iii) and (iv) are into relations.
 
 
     
   
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