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If $A=\{1,2\}, B=\{2,3\}$ and $C=\{3,4\}$, then what is the cardinality of $(A \times B) \cap(A \times C)$
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$\mathrm{A} \times \mathrm{B}=\{(1,2),(1,3),(2,2),(2,3)\}$
$\mathrm{A} \times \mathrm{C}=\{(1,3),(1,4),(2,3),(2,4)\}$
Number of elementsin $(\mathrm{A} \times \mathrm{B}) \cap(\mathrm{A} \times \mathrm{C})=2$
$\mathrm{A} \times \mathrm{C}=\{(1,3),(1,4),(2,3),(2,4)\}$
Number of elementsin $(\mathrm{A} \times \mathrm{B}) \cap(\mathrm{A} \times \mathrm{C})=2$
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