The number of ways in which n different things can arrange in a circle if clockwise and anti-clock-wise orders are different is ______.
(n-1)!
To arrange n things in circle, first fix position of 1 thing and then arrange the remaining (n-1) things with respect to that one fixed thing.
Since order of clockwise and anti-clock-wise orders are different, (n-1) things can be arranged in (n-1)! Ways.