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Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ

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Find sets A, B and C such that 

A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ

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1 Answer

+1 vote
by (2.5k points)
 
Best answer

Let 

A = {0, 1}, B = {1, 2}, and C = {2, 0}.

 Accordingly,

 A ∩ B = {1}, B ∩ C = {2}, and A ∩ C = {0}. 

∴ A ∩ B, B ∩ C, and A ∩ C are non-empty. 

However, A ∩ B ∩ C = Φ 

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