Q. 84.7( 9 Votes )

Let A = {1, 2} and B={3, 4}. Find the total number of relations from A into B.

Answer :

Given,


A= {1, 2}, B= {3, 4}


n(A) = 2 (Number of elements in set A).


n(B) = 2 (Number of elements in set B).


We know,


n(A × B) = n(A) × n(B) = 2 × 2 = 4


Number of relations from A to B are 4.


NOTE:


Given,


A= {1, 2}, B= {3, 4}


A relation from A to B can be defined as:


A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}


Number of relations from A to B are 4


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