We are asked to findthe numbe r of ways in which a gold and silver and bronze medal can be awarded for a 200 m sprint in which there are 13 runners.
Explanation
Since there are 13 runners
[tex]\begin{gathered} gold=13\text{ slots} \\ silver=\text{ 12 slots} \\ bronze\text{ =11 slots} \end{gathered}[/tex]Therefore, the number of possible wtys are
[tex]13\times12\times11=1716[/tex]Answer: 1716 ways
