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If the ordered pairs (1, 3), (2, 5), and (3, 3) belong to A × B, and A × B contains exactly 6 elements in all, which of the following are the other elements of A × B?

1. (1, 5), (2, 3), (3, 5)
2. (5, 1), (3, 2), (5, 3)
3. (1, 5), (2, 3), (5, 3)
4. None of these

Correct answer: (1, 5), (2, 3), (3, 5)

Solution

The correct option includes pairs that combine the elements of sets A and B in a way that maintains the total of 6 unique ordered pairs, while also ensuring that the first elements (from set A) and the second elements (from set B) are consistent with the given pairs.

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