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Definition of Relations

If A =1,2,3,4...

Question

If $A = {1, 2, 3, 4, 5, 6}, B = {3, 6, 9, 12}, C = {6, 12, 18, 20}$ , then $n {(A \times B) \cap (A \times C)} =$

A

12

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B

24

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C

48

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D

36

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Solution

The correct option is A $12$
$(A \times B) \cap (A \times C) = (A) \times (B \cap C)$
$∴ n ((A \times B) \cap (A \times C)) = 12 elements$

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