Question

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

Answer 1

It is given that A = {x, y, z} and B = {1, 2}.
∴ A × B = {(x, 1), (x, 2), (y, 1), (y, 2), (z, 1), (z, 2)}
Since n(A × B) = 6, the number of subsets of A × B is 2⁶.
Therefore, the number of relations from A to B is 2⁶.