# Math Help - Circular Combinations

1. ## Circular Combinations

Determine the number of circular permutations of {0,1,2,..,9} in which 0 and 9 are not opposite. (Hint: count those in which 0 and 9 are opposite.)

2. Originally Posted by lacy1104
Determine the number of circular permutations of {0,1,2,..,9} in which 0 and 9 are not opposite. (Hint: count those in which 0 and 9 are opposite.)
There are $8!$ circular permutations of {0,1,2,..,9} in which 0 and 9 are opposite.