Answer
The number of ways can the six horses cross the finish line is \[360\].
Work Step by Step
Calculation of number of ways can the six horses cross the finish line can be done with the above mentioned formula:
Compute the number of ways can the six horses cross the finish line using the equation as shown below:
\[\begin{align}
& _{n}{{P}_{r}}=\frac{n!}{\left( n-r \right)!} \\
& _{6}{{P}_{4}}=\frac{6!}{\left( 6-4 \right)!} \\
& =\frac{6\times 5\times 4\times 3\times 2!}{2!} \\
& =360
\end{align}\]
