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An elevator has 5 people and makes 8 stops. What is the probability that no two...

An elevator has 5 people and makes 8 stops. What is the probability that no two people get off on the same floor? (Enter your answer as a fraction.)

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Answer #1

If the persons leave on different floors than we need to choose 5 out of 8 stops and arrange the people in the order. Hence,

P(No two person get off on the same floor)

= 105/512

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