Circular Permutation question

May 2010
1
0
I have been working on this homework question for about 3 hours and still cannot get it.

Suppose 11 people want to sit at a ciruclar table. A,B,C,D,E,F,G,H,I,J,K, How many ways can all of them sit around the circular table if E MUST sit Immeduately to the right (next to and on the right side) of A.


Thank you for your help.
 

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MHF Hall of Honor
Mar 2010
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Chicago
I have been working on this homework question for about 3 hours and still cannot get it.

Suppose 11 people want to sit at a ciruclar table. A,B,C,D,E,F,G,H,I,J,K, How many ways can all of them sit around the circular table if E MUST sit Immeduately to the right (next to and on the right side) of A.


Thank you for your help.
By fixing A and E, we are no longer dealing with circular permutations but instead linear permutations (the regular kind).

Write

A E _ _ _ _ _ _ _ _ _

And fill in the blanks using permutations.