Question

A gold and silver and bronze medal are awarded in an Olympic event and how many possible ways can the medals be awarded for a 200 m sprint in which there are 13 runners

Answer 1

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

$\begin{gathered} gold=13\text{ slots} \\ silver=\text{ 12 slots} \\ bronze\text{ =11 slots} \end{gathered}$

Therefore, the number of possible wtys are

$13\times12\times11=1716$

Answer: 1716 ways