# Circular Combinations

• April 8th 2008, 08:42 AM
lacy1104
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.)
• April 8th 2008, 10:19 AM
Plato
Quote:

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.