Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $2^4$
We have,
A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.
Since $n (A×B) = 4$, the number of subsets of $A×B$ is $2^4$. Therefore, the number of relations from A into B will be $2^4$.