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Five people check identical suitcases before boarding an airplane. At the baggage claim, each person takes one of the five suitcases at random. What is the probability that every person ends up with the wrong suitcase?

 Jul 8, 2018
 #1
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bumo.............

 Jul 8, 2018
 #2
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It is a derangement question, so using the formula:

 

!5=[5!/e]=44

 

so the probability is 44/120,  which cancels to 11/30.

 Jul 8, 2018

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