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Which expression gives the orange region? (′ means the complement within U.)

Competition practiceVenn Diagrams
  • A(A ∩ B ∩ C) ∪ (A ∪ B ∪ C)′
  • B(A ∪ B ∪ C)′
  • C(A ∩ B ∩ C)′
  • DA ∩ B ∩ C

Step-by-Step Solution

Two separate parts are shaded: the centre, common to all three circles, and the area outside every circle. Together that is would shade everything except the centre.
Answer: A) (A ∩ B ∩ C) ∪ (A ∪ B ∪ C)′

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