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In how many ways can 6 students sit in a row, if two of the students do not want to sit next to each other?

 May 15, 2020
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Let us suppose that they DO want to sit next to each other

 

They  can be seated in any of 5 poistions, each can be arranged in two ways  and for each of these  the other 4 students can be arranged in 4!  =24 ways

 

So......we have    5 * 2 * 24   =   240 ways

 

And the ways they can be arranged where the two students do not want to sit next to each other  =

 

total arrangements - 240   =  

 

6!  - 240  =

 

720 - 240  =

 

480  ways

 

 

cool cool cool

 May 15, 2020

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