\item \self 
Listed are the participants of a seminar as well as their choice of snacks. Find a symbolic encodings for the participants.
For for this encoding, give the symbolic representation of the set $B$ of all participants that ordered \emph{bananas}, and the set $C$ of all participants that ordered cake.

  \begin{tabular}{l|l}
    Name  & Snack    \\
    \hline
    Alice & banana     \\
    Bob   & cake     \\
    Carl  & banana     \\
    David & banana     \\
    Eve   & cake     \\
    Frank & cake     \\
    Greg  & orange     \\
    Hank  & cake     \\
  \end{tabular}