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Question: Answered & Verified by Expert
If $A, B$ and $C$ are three finite sets, then what is $[(A \cup B) \cap C]$ equal to?
MathematicsSets and RelationsNDANDA 2009 (Phase 1)
Options:
  • A $A^{\prime} \cup B^{\prime} \cap C^{\prime}$
  • B $A^{\prime} \cap B^{\prime} \cap C^{\prime}$
  • C $A^{\prime} \cap B^{\prime} \cup C^{\prime}$
  • D $A \cap B \cap C$
Solution:
1462 Upvotes Verified Answer
The correct answer is: $A^{\prime} \cap B^{\prime} \cup C^{\prime}$
We know that
$[(A \cup B) \cap C]^{\prime}=A^{\prime} \cap B^{\prime} \cup C$

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