1.

If A, B and C are three finite sets, then what is [(A ∪ B) ∩ C]′ equal to ?(a) (A′ ∪ B′) ∩ C′ (b) A′∩ (B′ ∩ C′) (c) (A′ ∩ B′) ∪ C′ (d) (A ∩ B) ∩ C

Answer»

(c) (A′ ∪ B′) ∪ C′

Given, A, B and C are three finite sets, then 

[ (A ∪ B) ∩ C ]′ = (A ∪ B)′ ∪ C′ 

= (A′ ∪ B′) ∪ C′



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