Question

Two given sets A and B have 3 and 4 elements respectively. How many relations from A to B can be defined? A. 12 relations B. 12² C. 2 ¹² D. 3 ⁴ ​

Answer 1

Answer:

12

Step-by-step explanation:

Now, number of elements (ordered pairs) in A×B is 3×4=12

Number of subsets of A×B is 2

12

including empty set.

Since, every subset of A×B is a relation from A to B.

Hence, number of relations from A to B is 2

12

−1