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Suppose that I have an unlimited supply of identical math books, history books, and physics books. All are the same size, and I have room on a shelf for 8 books. In how many ways can I arrange eight books on the shelf if no two books of the same type can be adjacent?

 Mar 4, 2018
 #1
avatar+18332 
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First book can be any of 3

next book can only be 1 of 2    (so as not to match

next book can only be 1 of 2

......

 

3 * 2^7 =  384        my guess   !   

 Mar 4, 2018
 #2
avatar+101769 
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I would not have thought to do it like that EP but I cannot fault your logic...

sounds good to me  laugh

 Mar 5, 2018

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