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 $n (A \times B) = 6$ . If three elements of A x B are $(3, 2), (7, 5), (8, 5)$ , then

A
$A = {3, 7, 8}$
B
$B = {2, 5, 7}$
C
$B = {3, 5}$
D
None of these

Solution:

$∵ (3, 2), (7, 5), (8, 5) \in A \times B$

$∴ 3, 7, 8 \in A$ and $2, 5 \in B$

Also, $n (A \times B) = 6 = 3 \times 2$

$∴ A = {3, 7, 8}$ and $B = {2, 5}$

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