Let A = {1,2,3}, B = {3,4} and C = {4,5,6}. Find : (A $\times$ B) $\cap$ (A $\times$ C)
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Answer
Here we have, A = {1,2,3}, B = {3,4} and C = {4,5,6}
Now (A $\times$ B) = {(1,3), (1,4), (2,3), (2,4), (3,3), (3,4)} and (A $\times$ C) = {(1,4), (1,5), (1,6), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6)}
Therefore, (A $\times$ B) $\cap$ (A $\times$ C) = {(1, 4), (2, 4), (3, 4)}
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