Question

if A ={m,n,p} and B={m,n} .then find B×A &A×B

​

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

.