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

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 $\text I$: $1$