If A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, then (A × B) ∩ (B × C) is equal to
Answer & explanation
Correct answer: option 2
A × B = {1, 2, 3} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)}
B × C = {3, 4} × {4, 5, 6} = {(3, 4), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6)}
So (A × B) ∩ (B×C) = {(3, 4)}
Hence (2) is the correct answer