264,841 views
28 votes
28 votes
30 cars are in a race. In how many different ways can cars finish in the top 3 positions?

User AnshBikram
by
3.3k points

2 Answers

28 votes
28 votes
The answer is 24360




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User Cometbill
by
3.7k points
15 votes
15 votes

Given:

There are 30 cars in a race.

The number of ways that cars finish in the top 3 positions is given as,


\begin{gathered} ^nP_r=(n!)/((n-r)!) \\ n=30,r=3 \\ ^(30)P_3=(30!)/((30-3)!) \\ =(30!)/(27!) \\ =28*29*30 \\ =24360 \end{gathered}

Answer: There are 24360 ways that cars finish in the top 3 positions.

User Zmilojko
by
3.0k points
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