The letters C, O, U, N and T are randomly placed around a circle. One such arrangement is shown here. If we always start with the C and continue to read the rest of the letters in order clockwise, in how many different orders can the letters appear?
Well since "C" is in a given position, and we're going in a clock-wise manner, we have 4 ways to choose the next letter, 3 ways to choose the letter after that, etc.