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One to One Function

Let Y =1,2,3,...

Question

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

A

Y

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B

A

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C

B

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D

Null set

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Solution

The correct option is D Null set
We know that,
$(Y \times A) \cap (Y \times B) = (Y) \times (A \cap B) = Y \times ϕ = ϕ$

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One to One Function

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