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counting and probability intermediate

Problem

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?

problem
Solution
Since we always read the letters clockwise, this is really the same as counting the number of linear permutations of the 5 letters, given that C must go first. So, there are orders.
Final answer
24