#### Question

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

#### Solution

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

Is there an error in this question or solution?

Solution Find Sets A, B and C Such that a ∩ B, B ∩ C and a ∩ C Are Non-empty Sets and a ∩ B ∩ C = φ. Concept: Finite and Infinite Sets.