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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}