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Q. If $A=\{a, b, c\}, B=\{b, c, d\}$ and $C=\{a, d, c\}$, then $(A-B) \times(B \cap C)$ is equal to

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Solution:

$A=\{a, b, c\}, B=\{b, c, d\}$ and $C=\{a, d, c\}$
$ A-B=\{a\}, B \cap C=\{c, d\}$
$\therefore (A-B) \times(B \cap C)=\{(a, c),(a, d)\}$