Question

If A and B are two sets containing respectively m and n distinct elements. How many different
relations can be defined for A and B?
А.
2m-n
B.
2min
C.
2mn
D
2m/n

Answer 1

Answer:

2mn is right option

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