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Properties of Set Operation

A and B are...

Question

$A$ and $B$ are two sets having $3$ and $5$ elements respectively and having $2$ elements in common. Then the number of elements in $A \times B$ is

A

6

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B

36

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C

15

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D

N o n e o f t h e s e

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Solution

The correct option is D $15$
Total ordered pairs $= n (A) \times n (B) = 3 \times 5 = 15$

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