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If A, B and C are three finite sets, then [(A ∪ B) ∩ C]′ equals to

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If A, B and C are three finite sets, then [(A ∪ B) ∩ C]′ equals to 

(a) A′ ∪ B′ ∩ C′     (b) A′ ∩ B′ ∩ C′ 

(c) A′ ∩ B′ ∪ C′     (d) A ∩ B ∩ C

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1 Answer

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Best answer

Correct option is (c)

Explanation:

We know that,

[(A ∪ B) ∩ C]′ = (A ∪ B)′ ∪ C′ = (A′ ∩ B′) ∪ C′ 

= A′ ∩ B′ ∪ C′  (by De-Morgan’s law)

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