February 18th, 2010, 10:20 AM  #1 
Newbie Joined: Feb 2010 Posts: 6 Thanks: 0  Combinatorics
As a first question: Eight children are in a carousel. Determine how many ways they can change places with the following condition: each child must have a different child in his/her right in the next permutation. I'm having trouble with this one. Can anyone help? 
February 18th, 2010, 01:39 PM  #2 
Newbie Joined: Nov 2009 Posts: 8 Thanks: 0  Re: Combinatorics
Are the seats in the carousel different from each other? Or are they identical?

February 18th, 2010, 01:59 PM  #3 
Newbie Joined: Feb 2010 Posts: 6 Thanks: 0  Re: Combinatorics
They are identical. The carousel only implies that they are siting in circle, so we would have to disconsider their rotation in the account.


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