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Suppose that I have \(6\) different books, \(2\) of which are math books. In how many ways can I stack my \(6\) books on a shelf if I do not want the math books to be next to each other?

 Oct 19, 2018
 #1
avatar+103076 
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Total arrangements -  The number of arrangements where the ARE together

 

The can be together in  5  ways and for each of these they can be arranged in 2 ways

 

So

 

6!  -  2 * 5  =

 

6!  - 10

 

720 - 10  =

 

710  ways

 

cool cool cool

 Oct 19, 2018

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