Answer
The sprinters can come in $336$ different ways in first, second and third.
Work Step by Step
The order in which the sprinters finish the 100-meter dash is important. It is a permutation of 3 sprinters from a group of 8 sprinters.
$_{8}P_3=\frac{8!}{(8-3)!}=\frac{8\times7\times6\times5!}{5!}=336$
