# E2- Problem Solving 1.docx - 1 2 3 4 5 6 7 8 9 10 O O O O O...

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12345678910OOOOOOOOOOOXOXOXOXOXOXXXOOOXXXOXXOOOOOXXOXXOXOOOXOOXXOXXOOXOOXXOXXXOXOOXXOXXXXXOOXXOXXXXOOOXXOXXXXOXThe problem is that a school has exactly one thousand lockers as well as one thousand students,four students are given instructions on what to do about the lockers. The first student opensevery locker, the second student shuts every second locker, the third student changes the stateof every locker meaning opening when closed and the opposite, and the fourth changes thestate of every fourth locker. What I need to find is will the lockers be open or closed at the end.The model I created represents what lockers were closed and open by the students. What INotice was that lockers #1, #4 and #9 have undergone 1, 3 and 3 state changes and are open intheir final state. All other lockers underwent an even number of state changes and are closed atthe end of the exercise.Factorsof 1: 1 (1)Factorsof 2: 1, 2 (2)Factorsof 3: 1, 3 (2)Factorsof 4:1, 2, 4(3)
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