# Probability

An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor.

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#### Solution Preview

From the condition, we know that on each floor at most one passenger gets off. That is to choose 4 positions out of a total of 8. We have 8!/(4!4!)= 70 different choices.

On the other hand, let's compute all the possibilities.

We have 8 floors, each floor can have at ...

#### Solution Summary

This shows how to complete a probability question for an elevator situation.

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