146. From a group of 15 people, four participants for the relay race $800+400+200+100$ are selected. In how many ways can the athletes be arranged for the relay stages?
$\triangle$ First, let's choose an athlete for the 800 m stage, then for the 400 m, followed by 200 m, and finally for the 100 m stage. Since the order in which the selected athletes compete is significant, we are dealing with permutations—permutations of 4 out of 15. We get:

$$
A_{15}^{4}=15 \cdot 14 \cdot 13 \cdot 12=32760
$$

Answer: 32760.