A and B determine the number of relations from A to B just a

A and B, determine the number of relations from A to B (just as a power of2). For example, if the number of relations is 250 A= {red, white, blue” B = {2,0,1,5,3}

Solution

The total number of relations that can be defined from a set A to a set B is the number of possible subsets of AxB.
If number of elements of A, n(A) = p
and number of elements of B,n(B) = q,
then number of elements of AxB, n(AxB) = pq

and the total number of relations is 2^(pq)