# Number of Ways of Seating People at Circular Table/Examples/8

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## Example of Use of Number of Ways of Seating People at Circular Table

$8$ people can be seated at a circular table in $5040$ ways.

## Proof

From Number of Ways of Seating People at Circular Table, $n$ people can be so seated in $\paren {n - 1}!$ ways, where $!$ denotes the factorial function.

Hence $8$ people can be seated at a circular table in $\paren {8 - 1}! = 5040$ ways.

$\blacksquare$

## Sources

- 1953: L. Harwood Clarke:
*A Note Book in Pure Mathematics*... (previous) ... (next): $\text I$. Algebra: Permutations and Combinations: Exercises $\text I$: $1$