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Let Y = {1,2,3,4,5}, A = {1, 2}, B = {3, 4, 5} and $ϕ$ denote the null set. If $A \times B$ denotes the cartesian product of sets A and B, then $(Y \times A) \cap (Y \times B)$ is

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$ϕ$

answer is D.

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Detailed Solution

$(Y \times A) \cap (Y \times B) = Y \times (A \cap B) = Y \times ϕ = ϕ$

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