John draws a regular five pointed star in the sand, and at each of the 5 outward-pointing points and 5 inward-pointing points he places one of ten different sea shells. How many ways can he place the shells, if reflections and rotations of an arrangement are considered equivalent?
Answer is not 3628800
Treat the star like a circle
In a circle counting problem, \(n\) people can be seated in \((n-1)!\) ways.