\item \self The following table shows eight students and their means of transportation. Find a symbolic encodings representing the list of students.
For this encoding, give the symbolic representation of the set $B$ of all students that go by \emph{bike}, and the set $C$ of all students that go by \emph{car}.

  \begin{tabular}{l|l}
    Name  & Transportation    \\
    \hline
    Alice & Car     \\
    Bob   & Bike     \\
    Carl  & Tram     \\
    David & Bike     \\
    Eve   & Tram     \\
    Frank & Bike     \\
    Greg  & Tram     \\
    Hank  & Bike     \\
  \end{tabular}