Question

the no. of elements in sets A and B are m and n respectively, then the no. of relations from A to B is​

Answer 1

Step-by-step explanation:

Solution

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Correct option is

B

2

mn

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., 2

mn

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Answer 2

Step-by-step explanation:

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