\documentclass[12pt,a4paper,german]{article}
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%%%%%%%%%% Fill out the the definitions %%%%%%%%%
\def \name {Valentin Brandl}					%
\def \matrikel {108018274494}				%
\def \pname {Marvin Herrmann}				%
\def \pmatrikel {108018265436}				%
\def \gruppe {Mi 10-12 (Andre)}
\def \uebung {1}								%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

 % DO NOT MODIFY THIS HEADER
\newcommand{\hwsol}{
\vspace*{-2cm}
\noindent \matrikel \quad \name \hfill \"Ubungsgruppe: \gruppe \\
\noindent \pmatrikel \quad \pname \\
\begin{center}{\Large \bf L\"osung f\"ur \"Ubung \# \uebung}\end{center}
}

\begin{document}
%Import header
\hwsol

\section*{Aufgabe 1.2}
\begin{enumerate}[(1)]
	\item
		\begin{eqnarray*}
			\binom{16}{8} \cdot \binom{8}{2} \cdot \binom{6}{2} \cdot \binom{4}{2} \cdot 2! &=& 64864800
		\end{eqnarray*}

	\item
		\begin{itemize}
			\item Figuren werden farblich unterschieden
				\begin{eqnarray*}
					\binom{64}{8} \cdot \binom{56}{8} \cdot \binom{42}{2} \cdot \binom{40}{2} \cdot \binom{38}{2} \cdot
					\binom{36}{2} \cdot \binom{34}{2} \cdot \binom{32}{2} \cdot 30 \cdot 29 \cdot 28 \cdot 27 = \\
					= 342252222360871944253577108738801126400000 \\
					= 3.4 \cdot 10^{41}
				\end{eqnarray*}

			\item Figuren werden farblich nicht unterschieden
				\begin{eqnarray*}
					\binom{64}{16} \cdot \binom{42}{4} \cdot \binom{38}{4} \cdot \binom{34}{4} \cdot \binom{30}{2} \cdot
					\binom{28}{2} &=&
					30778963276000023764494761426480000 \\
					&=& 3.1 \cdot 10^{34}
				\end{eqnarray*}
		\end{itemize}

\end{enumerate}
\end{document}

