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\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}
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