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.
Step-by-step explanation
Since there are 13 runners
![\begin{gathered} gold=13\text{ slots} \\ silver=\text{ 12 slots} \\ bronze\text{ =11 slots} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rdahf78zsgmt9n4ct9hydmx0lh35ls8ox7.png)
Therefore, the number of possible wtys are
![13*12*11=1716](https://img.qammunity.org/2023/formulas/mathematics/college/2m0gge4icdarcy3vjz4ttmhtep68mch97g.png)
Answer: 1716 ways