Suppose three friends enter together a train at one of the stops. Suppose that the train needs to make five more stops until its final destination. Considering that we have no prior knowledge where the three friends are going to get off the train, what is the probability that all three of them get off at different stops?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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 Suppose three friends enter together a train at one of the stops. Suppose that the train
needs to make five more stops until its final destination. Considering that we have no prior
knowledge where the three friends are going to get off the train, what is the probability that all
three of them get off at different stops?

 

Please answer this question with Combinatorial Probability in mind.

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Trains will stop at 5 more stops before destination

 

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