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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

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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}

Therefore, the number of possible wtys are


13*12*11=1716

Answer: 1716 ways

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