Question

6. Let A and B be any two sets such that n(B) = 4, n(A) = 2 then the total number of
Non-empty relations on A x B is equal to
(a) 8
(b) 16
(c) 255
(d) 256​

Answer 1

Explanation:

For any set A such that n(A)=n

then number of all relations on A is 2n2

As the total number of Relations that can be defined from a set A to B is the number of possible subsets of A×B. If n(A)=p and n(B)=q then n(A×B)=pq and the number of subsets of A×B = 2pq.