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\section*{Topics for Week of November 1st, 1999}

\subsection*{Counting I\\
F97 Lec Notes 14, Rosen 5.5-6, 4.3}

\begin{itemize}
\item 
Computing the cardinality of unions of sets 
\begin{itemize}
\item
Disjoint Sets (the sum rule)
\item
Overlapping Sets (inclusion-exclusion principle for n sets)
\end{itemize}
\item
Computing the cardinality of products of sets(the product rule)
\item
Combination of sum and product rules (tree diagrams)
\item 
Permutations 
\item
Using permutations to lower bound the running time of algorithms 
\item
$r$-permutations 
\item
Sieve of Eratosthenes
\item
Dearrangements
\end{itemize}



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