info prev up next book cdrom email home

Circular Permutation

The number of ways to arrange $n$ distinct objects along a Circle is

\begin{displaymath}
P_n=(n-1)!.
\end{displaymath}

The number is $(n-1)!$ instead of the usual Factorial $n!$ since all Cyclic Permutations of objects are equivalent because the Circle can be rotated.

See also Permutation, Prime Circle




© 1996-9 Eric W. Weisstein
1999-05-26