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

1 Answer

5 votes

Answer:

755,160 ways

Step-by-step explanation:

We're told that 31 cars are in a race.

Considering the order in which the cars can finish in the top 4 positions, any of the 31 cars can finish in the first position, any of the remaining 30 cars can finish in the second position, any of the remaining 29 cars can finish in the third position and any of the remaining 28 cars can finish in the fourth position, so the different numbers of ways can be determined as seen below;


31*30*29*28=755,160\text{ ways}

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