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

User Putnik
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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.

User TanisDLJ
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