Let A = {2, 3} and B= {3, 5}
(i) Find (A × B) and n(A × B).
(ii) How many relations can be defined from A to B?
Given: A = {2, 3} and B= {3, 5}
(i) (A × B) = {(2, 3), (2, 5), (3, 3), (3, 5)}
Therefore, n(A × B) = 4
(ii) No. of relation from A to B is a subset of Cartesian product of (A × B).
Here no. of elements in A = 2 and no. of elements in B = 2.
So, (A × B) = 2 × 2 = 4
So, the total number of relations can be defined from A to B is =