The set (A ∪ B ∪ C) ∩ (A ∩ B′ ∩ C′)′ ⋃ C′ is equal to
(a) B ∩ C′
(b) A ∩ C
(c) B ∪ C′
(d) A ∩ C′

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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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