Question

The no of relations R from an'm' element set A to an 'n' element set B Satisfying condition (a,b1) belongs to R, (a, b2) belongs to R, implies b1= b2 for a belongs to A and b1, b2 belongs to B is​

Answer 1

Answer:

Here, O(A)=m and O(B)=n.

Hence O(A×B)=mn

Since every subset of A×B is a relation from A to B, therefore, number of relations from A to B is equal to the number of the subsets of A×B, i.e.,  2mn

Answer 2

Step-by-step explanation:

The no of relations R from an'm' element set A to an 'n' element set B Satisfying condition (a,b1) belongs to R, (a, b2) belongs to R, implies b1= b2 for a belongs to A and b1, b2 belongs to B is