Question

If n(A) =2 , n(B) =n and the number of relations from A to B is 256 then the value of n is​

Answer 1

For any set A such that n(A)=n

then number of all relations on A is 2

n

2

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 = 2

pq

.