Fix an integern > 2 and consider the set P = {1,2, ..., n}. Define a partial order < on P such that for distinct x, y E P, x < y if and only if x = 1 and y = 2. (5 points) Find the number of linear extensions of P. (5 points) Prove that your answer is correct (feel free to invoke results from the textbook to support your argument).

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