Statistics - arrangement in a circle

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SUMMARY

The problem involves arranging G8 delegates around a circular table with specific seating constraints. The French and Canadian delegates must sit next to each other, while the Russian and Japanese delegates must not. The formula for circular arrangements is (n - 1)!, and the total arrangements can be calculated by treating the French and Canadian delegates as a single unit, leading to (7! x 2) - (6! x 4) for linear arrangements, adjusted for circular permutations.

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Homework Statement


Delegates from the G8 are to be seated around a circular table. How many different seating arrangements are possible if the French and Canadian delegates are to be seated next to each other, but the Russian and Japanese are not to be next to each other?


Homework Equations


n!/n

The Attempt at a Solution


I know that if they were seated in a row, the answer would be (7!x2) - (6!x4), but I do not know where to start when it comes to arranging them in a circle
 
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Hint: the number of permutations of n objects in a circle is (n - 1)!.
 

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