Question

In a race in which nine automobiles are entered and there are no ties, in how many ways can the first three finishers come in?

Answer 1

Given:

There are 9 automobiles.

The number of ways can the first three finishers come in is determined as,

There are 9 ways for first place can come in. Then 8 ways for second place and 7 ways fir third place.

$\text{Number of ways=9}\times8\times7=504$

Answer: There are 504 ways can the first three finishers come in.