How many ways can 8 track runners be arranged on a 4 person relay team?

To form a 4-person relay team from 8 track runners, we first choose 4 runners from the 8, which can be done in ( \binom{8}{4} = 70 ) ways. Then, we can arrange these 4 runners in ( 4! = 24 ) different ways. Therefore, the total number of arrangements is ( 70 \times 24 = 1680 ). Thus, there are 1,680 ways to arrange 8 track runners on a 4-person relay team.