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Using both exam.cls and probsoln.sty

This example requires two LaTeX runs if you want to reference the number (or total number) of points.
\documentclass[addpoints]{exam}

\usepackage{probsoln}

\showanswers

\renewenvironment{solution}%
{\par\noindent\textbf{\solutionname}: \ignorespaces}%
{\ignorespacesafterend}

\begin{document}
\begin{center}\bfseries
Assignment~1\ifshowanswers\space (Solution Sheet)\fi
\end{center}

\begin{questions}
\question[1] What is the main drawback of ray guns?
\begin{onlysolution}
\begin{solution}
Overheating.
\end{solution}
\end{onlysolution}

\end{questions}

\end{document}

Download exam-probsoln.tex or exam-probsoln.pdf.

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