If A has two elements and B has three elements then number of binary relations in A × B is?

If A has two elements and B has three elements then number of binary relations in A × B is?

Explanation

The number of binary relations in A × B is the number of subsets of A × B.

A has 2 elements and B has 3 elements, so A × B has 2 * 3 = 6 elements.

The number of subsets of A × B is 2^(number of elements in A × B)

= 2^6