Let A and B be two sets such that n(A×B)=6. If three elements of A x B are (3,2),(7,5),(8,5), then

Let A and B be two sets such that $n\left(A×B\right)=6$. If three elements of A x B are $\left(3,2\right),\left(7,5\right),\left(8,5\right)$, then

1. A

$A=\left\{3,7,8\right\}$

2. B

$B=\left\{2,5,7\right\}$

3. C

$B=\left\{3,5\right\}$

4. D

None of these

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Solution:

$\because \left(3,2\right),\left(7,5\right),\left(8,5\right)\in A×B$

$\therefore 3,7,8\in A$ and $2,5\in B$

Also, $n\left(A×B\right)=6=3×2$

and $B=\left\{2,5\right\}$

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