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\title{General Mathematics and Computational Science I}
\author{Exercise 5}
\date{September 20, 2005}
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\begin{enumerate}

\item (From Ivanov, p.\ 8) Prove that any sum of more than $7$ cents
can be made up out of $3$- and $5$-cent coins.

(Use the induction principle formulated in class!)

\item The solution to Ivanov, p.~9, Problem~7 is given only as a rough
sketch.  Fill in all the gaps and carefully write out the proof.

\end{enumerate}
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