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9 labels and 9 jars (Posted on 2002-12-09) Difficulty: 4 of 5
There are 9 jars each with unique labels.

Someone has come and removed all the labels and mixed them up.

If you put the labels back on the jars (without knowing the contents), what is the expected number of labels which would match the contents?

See The Solution Submitted by Kozo Morimoto    
Rating: 3.5833 (12 votes)

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Some Thoughts just thoughts | Comment 1 of 15
So you put the labels randomly back.

There are total 9!(=362880) different variations to put the labels.
The probability that at least one of the labels go in a right place is (9-1)!/9!=11% (tell me if iīm doing it all wrong!)

From there it goes only down, so you canīt expect ANY of the labels go in the right palce!
  Posted by not_so_einstein on 2002-12-09 04:23:02
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