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1.Set Theory
easy
Find sets $A, B$ and $C$ such that $A \cap B, B \cap C$ and $A \cap C$ are non-empty sets and $A \cap B \cap C=\varnothing$
Option A
Option B
Option C
Option D
Solution
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.
Howerer, $A \cap B \cap C=\varnothing$
Standard 11
Mathematics
