Question

if A and B are two sets having m and n elements , respectively and having p elements common . the number of possible relations which can be defined from A to B is

Answer 1

Step-by-step explanation:

The Cartesian product R of A and B will have mn elements.

n(R)=n(A×B)=n(A)×n(B)=mn

Number of possible relations = Number of possible subsets of Cartesian product R = 2mn