【Example 2】Eight classes of the third year of high school participate in the sports meet, to determine the first, second, and third place in the overall team score, how many different possible outcomes of the competition are there?
From the perspective of counting problems, this is a problem of "selecting 3 elements in order from 8 different elements," so it is a basic permutation problem. Therefore, by the permutation formula, the total number of possible outcomes is
$$
A_{8}^{3}=8 \times 7 \times 6=336
$$

different match results.