Find sets $A, B$ and $C$ such that $A \cap B, B \cap C$ and $A \cap C$ are non-empty sets and $A \cap B \cap C = \varnothing$.
(N/A) Let $A = \{0, 1\}, B = \{1, 2\},$ and $C = \{2, 0\}$.
Accordingly,$A \cap B = \{1\}, B \cap C = \{2\},$ and $A \cap C = \{0\}$.
Therefore,$A \cap B, B \cap C,$ and $A \cap C$ are non-empty sets.
However,$A \cap B \cap C = \varnothing$.
Accordingly,$A \cap B = \{1\}, B \cap C = \{2\},$ and $A \cap C = \{0\}$.
Therefore,$A \cap B, B \cap C,$ and $A \cap C$ are non-empty sets.
However,$A \cap B \cap C = \varnothing$.
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