The set (A ∪ B ∪ C) ∩ (A ∩ B′ ∩ C′)′ ⋃ C′ is equal to

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Question:

The set (A ∪ B ∪ C) ∩ (A ∩ B′ ∩ C′)′ ⋃ C′ is equal to

(a) B ∩ C′

(b) A ∩ C

(c) B ∪ C′

(d) A ∩ C′

Solution:

(A ⋃ B ⋃ C) ∩ (A ∩ B′ ∩ C′) ⋃C′

Hence (A ∪ B ∪ C) ∩ (A ∩ B′ ∩ C′) ⋃ C' = A ∩ C'


Hence , the correct answer is option D.

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