\multipartquestion \item\PTs{20} Answer each of the following multiple selection problems. Each correct answer is worth $3$ points, and each incorrect answer is worth $-2$ points. \begin{questions} \rowsep{3pt} \item\PTs{9} Select which people who served as a President of the United States. (Select all correct choices.) \begin{manswers}{2}% \bChoices \Ans[-2]{0} Henry Clay\eAns \Ans[-2]{0} Ben Franklin\eAns \Ans[3]{1}\label{aj} Andrew Jackson\eAns \Ans[3]{1}\label{rr} Ronald Reagan\eAns \Ans[-2]{0} George Meade\eAns \Ans[3]{1}\label{gc} Grover Cleveland\eAns \Ans[-2]{0} John Jay\eAns \Ans[-2]{0} Paul Revere\eAns \eChoices \end{manswers} %\ifwithdesign\promoteNewPageHere[6\baselineskip]\fi \rowsep{3pt} \item\PTs{9} Select which people who served as a Chancellor of the German Republic. (Select all correct choices.) \begin{manswers}{2}% \bChoices[2] \Ans[-2]{0} Gustav Heinemann\eAns \Ans[-2]{0} Theodor Heu{\ss}\eAns \Ans[3]{1} Konrad Adenauer\eAns \Ans[-2]{0} Richard von Weizs\"{a}cker\eAns \Ans[3]{1} Willy Brandt\eAns \Ans[-2]{0} Heinrich L\"{u}bke\eAns \Ans[-2]{0} Roman Herzog\eAns \Ans[3]{1} Ludwig Erhard\eAns \eChoices \end{manswers} %\promoteNewPageHere{4\baselineskip} \rowsep{3pt} \item\PTs{2} If you select all choices in part~(a), you will receive $-1$ points as a penalty for bad guessing. \textbf{Question:} Determine the \emph{number of correct choices} in part~(a)? \begin{answers}*{4} \bChoices \Ans0 1\eAns \Ans0 2\eAns \Ans1 3\eAns \Ans0 4\eAns \Ans0 5\eAns \Ans0 6\eAns \Ans0 7\eAns \Ans0 8\eAns \eChoices \end{answers} \begin{solution} Let $x$ be the number of correct answers, then $ 3x - 2(8-x) = -1 $. Solving this simple equation we get $ x = 3 $. \end{solution} \end{questions}