Question

8 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can thegold, silver, and bronze medals be awarded?

Answer 1

336 ways

Step-by-step explanation:

The number of ways n objects can be arranged in r slots is given by

`(r!)/((r!-n!))`

There are 3 medals and we have 8 candidates.

Therefore, the number of different ways the medials can be awarded is

`(8!)/(8!-3!)=336`

which is our answer!