Answers to the Practice Problems are below in random order.
\(\begin{align}&\text{Permutation}\ & \ \ &168\ & \ \ &272613120\\\\
&\text{Permutation}\ & \ \ &86493225\ & \ \ &1\\\\
&\text{Combination}\ & \ \ &5040\ & \ \ &1\\\\
&\text{Combination}\ & \ \ &84\ & \ \ &9.08\ \text{feet}\\\\
&\text{Combination}\ & \ \ &\text{It doesn't}\ & \ \ &29760\\\\
&151200\ & \ \ &268435456\ & \ \ &\text{Various, order does not matter}\\\\
&\text{Various proofs}\ & \ \ &10000\ & \ \ &\text{Various, order matters}\\\\
&210\ & \ \ &\text{Undefined}\ & \ \ &24\\\\
&55\ & \ \ &8\ & \ \ &12\\\\
&5850000\ & \ \ &9979200\ & \ \ &120\end{align}\)
\(\begin{align}&\text{Permutation}\ & \ \ &168\ & \ \ &272613120\\\\
&\text{Permutation}\ & \ \ &86493225\ & \ \ &1\\\\
&\text{Combination}\ & \ \ &5040\ & \ \ &1\\\\
&\text{Combination}\ & \ \ &84\ & \ \ &9.08\ \text{feet}\\\\
&\text{Combination}\ & \ \ &\text{It doesn't}\ & \ \ &29760\\\\
&151200\ & \ \ &268435456\ & \ \ &\text{Various, order does not matter}\\\\
&\text{Various proofs}\ & \ \ &10000\ & \ \ &\text{Various, order matters}\\\\
&210\ & \ \ &\text{Undefined}\ & \ \ &24\\\\
&55\ & \ \ &8\ & \ \ &12\\\\
&5850000\ & \ \ &9979200\ & \ \ &120\end{align}\)