Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find

$A \times(B \cap C)$

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By the definition of the intersection of two sets, $( B \cap C )=\{4\}$

Therefore, $A \times(B \cap C)=\{(1,4),(2,4),(3,4)\}$

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