SOLUTION: There are 10 chairs around a table. If they are numbered from 1 to 10, how many ways can they be arranged if the even numbers must be kept together?

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Question 937765: There are 10 chairs around a table. If they are numbered from 1 to 10, how many ways can they be arranged if the even numbers must be kept together?
Answer by Edwin McCravy(20077)   (Show Source): You can put this solution on YOUR website!


Any rotation is not considered to change the order.

If the even numbered chairs are together, so are the odd
numbered ones.

So there are 5! ways to arrange the even chairs (E)
and 5! ways to change teh odd chairs.  

Answer 5!*5! = 5!2 = 1202 = 14400 ways.

Edwin
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