# Permutation

# Colorized Definition

\newcommand{\order}{\color{c1}}
\newcommand{\total}{\color{c2}}
\newcommand{\stopCount}{\color{c3}}
\newcommand{\partOne}{\color{c4}}
\newcommand{\combo}{\color{c5}}

$$\order P(\total n,\partOne k \order ) \plain = \stopCount \frac{\total n!}{\stopCount (n - \partOne k \stopCount ) ! }$$

\order     To order (permute)
\partOne   k
\order     items from
\total     n
\order     choices,
\\
\total      start counting all orderings
\plain       and
\\
\stopCount   stop counting after
\partOne    k
\stopCount   items are found

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