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If A × B has 6 elements and three of these are (1, 2), (2, 3), (3, 3), then A and B are
AA = {1, 2, 3}, B = {2, 3}
BA = {1, 2}, B = {2, 3, 3}
CA = {1, 3}, B = {2, 3, 3}
DA = {1, 2, 3}, B = {1, 2, 3}
Answer & Solution
Correct answer: A. A = {1, 2, 3}, B = {2, 3}
From the three pairs, first components include 1, 2, 3 so A ⊇ {1,2,3}; second components include 2, 3 so B ⊇ {2,3}. |A×B| = 3×2 = 6 matches, hence A = {1,2,3}, B = {2,3}.
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