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August 9, 2011 The Locker Problem

August 9, 2011 The Locker Problem. If you are not finished with your Diagnostic test you need to finish this today. If you are finished, work quietly on the following problem.

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August 9, 2011 The Locker Problem

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  1. August 9, 2011The Locker Problem If you are not finished with your Diagnostic test you need to finish this today. If you are finished, work quietly on the following problem. There are 200 lockers that are numbered from 1 to 200. There are 200 students lined up in front of locker #1. The first person in line goes through and opens each locker. The second person in line goes through and closes every second locker. The third person in line goes through and changes the position of every third locker. The 100th person in line will change the position of the 100th and 200th locker, etc. The question is this, which lockers will still be open after all 200 people have gone through the line? Write your answer and justify.

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