If A has two elements and B has three elements then number of binary relations in A × B is?
- 2⁶
- 2 × 3
- 2³
- None of these
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
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