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Notes
Arrangements of n seats at a round table
(with rotations being equivalent)
\((n-1)! \text{ or } \displaystyle\frac{n!}{n} \)
Practice Problems
\(\textbf{1)}\) How many different ways can 5 friends sit at a round dinner table?
\(\textbf{2)}\) How many different ways can 5 friends line up for a photograph?
\(\textbf{3)}\) 8 coworkers sit around a table. What is the probability that you and your two best friends are sitting next to each other?
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In Summary
Permutation problems involving seats around a circular table typically involve calculating the number of different arrangements of people in the seats that satisfy a certain condition. To solve these types of problems, you can use the basic principles of permutations, which involve arranging objects in a specific order. The specific approach will depend on the specific details of the problem at hand.
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