\(\text{Consider (A,B,C) as triplets where} A\subseteq { S }_{ 1 },~ B\subseteq { S }_{ 2 },~ C\subseteq { S }_{ 3 } [S_{1}=S_{2}=S_{3}=(1,2,3,4,.....n)]\) such that \(A\cap B\cap C=\phi \). Then the **probability** that \( A\cap B\neq \phi ,~B\cap C\neq \phi \) when \(A\cap B\cap C=\phi\) is \(f(n)\).

Find \(f(2)\)

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