Answer: 39,690
Step-by-step explanation: The number of arrangements of the top-three finishers can be found using the permutation formula:
n P r = n! / (n - r)!
Where n is the total number of cars (35) and r is the number of cars that will finish in the top three (3).
So, the number of arrangements of top-three finishers is:
35 P 3 = 35! / (35 - 3)!
= 35! / 32!
= 35 x 34 x 33
= 39,690
Therefore, there are 39,690 possible arrangements of top-three finishers in the car race.