1. The problem statement, all variables and given/known data A circular table is arranged so as to have 9 different robots occupy the table. If there are 5 different types of robots, what is the number of possible arrangements of these robots? 2. Relevant equations 3. The attempt at a solution If it wasn't a circular table, the answer would be 5^9, I suppose. But since it is circular, there would be repetitions. <1,2,3,4,5,6,7,8,9> is the same as <2,3,4,5,6,7,8,9,1> and so on. So I think I need to find the number of repetitions, and subtract it at from 5^9. There are 9 equivalent seating arrangements for each 'permutation'. for example, <1,2,3,4,5,6,7,8,9> <2,3,4,5,6,7,8,9,1> <3,4,5,6,7,8,9,1,2> <4,5,6,7,8,9,1,2,3> <5,6,7,8,9,1,2,3,4> <6,7,8,9,1,2,3,4,5> <7,8,9,1,2,3,4,5,6> <8,9,1,2,3,4,5,6,7> <9,1,2,3,4,5,6,7,8> So, is the answer 5^9/ 9 ? If yes, why isn't it a whole number?