Question

If n(a)=m and n(b)=n then no. of relations from a to b is

Answer 1

Answer:

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

.