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%TCIDATA{<META NAME="Title" CONTENT="Reference/Mathematics/Counting Principles">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Wed Mar 26 22:29:47 1997}
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\section{Counting Principles\label{Counting Principles}}

\vspace{1pt}\vspace{1pt}The fundamental counting principle is closely
associated with the notion of multiplication.

\subsection{\protect\vspace{1pt}Fundamental Counting Principle\label%
{Fundamental Counting Principle}}

\vspace{1pt}Suppose that two events occur in order. If the first can occur
in $m$ ways and the second in $n$ ways (after the first has occurred), then
the two events can occur in order in $m\times n$ ways.

\subsection{\textbf{Factorial Notation\label%
{Definition of factorial notation}}}

The product of the first $n$ natural numbers is denoted by $n!$ and is
called $n$ \textbf{factorial}: 
\[
n!=1\times 2\times 3\times \cdots \times \left( n-1\right) \times n
\]

Zero factorial is defined as follows: 
\[
0!=1
\]

\subsection{Related Scientific Notebook Topics}

{\small \hyperref{Factorial}{}{}{../../Help/DM2-2.tex#Factorial}}

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