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Answer
We have,
A = {1, 2, 3} and B = {2, 4}
$\therefore$ A × B = {1, 2, 3} × {2, 4}
= {(1, 2), (1, 4), (2, 2), (2, 4), (3, 2), (3, 4)}
B × A = {2, 4} × {1, 2, 3}
= {(2, 1), (2, 2), (2, 3), (4, 1), (4, 2), (4, 3)}
A × A = {1, 2, 3} × {1, 2, 3}
= {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}
B × B = {2, 4} × {2, 4}
= {(2, 2), (2, 4), (4, 2), (4, 4)}
$(\text{A}\times\text{B})\cap(\text{B}\times\text{A})$
$=\{ {(1, 2), (1, 4), (2, 2), (2, 4), (3, 2), (3, 4)} \}\\\ \ \ \cap\{(2, 1),(2,2),(2,3),(4,1),(4,2),(4,3)\}$
$=\{(2,2)\}$
$(\text{A}\times\text{B})\cap(\text{B}\times\text{A})=\{(2,2)\}$
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