The set \( (A \cup B \cup C) \cap\left(A \cap B^{\prime} \cap C^{\p...

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The set \( (A \cup B \cup C) \cap\left(A \cap B^{\prime} \cap C^{\prime}\right)^{\prime} \cap C^{\prime} \) is equal to
(A) \( \quad B \cap C^{\prime} \)
(B) \( \mathrm{A} \cap \mathrm{C} \)
(C) \( \quad B^{\prime} \cap C^{\prime} \)
(D) None of these
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