Question

27 cars are in a race. In how many different ways can cars finish in order in the top 4 positions?

Answer 1

Given:

The number of cars in a race = 27.

There are 4 top positions.

The number of ways to finish the car in order in the top 4 positions is,

`\begin{gathered} ^{}\text{ Number of ways = }^nP_r=(n!)/((n-r)!) \\ n=27 \\ r=4 \\ \text{ }^(27)P_4=(27!)/((27-4)!) \\ =(27!)/(23!) \\ =24*25*26*27 \\ =421200 \end{gathered}`

Answer: The number of ways are 421200.