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Let C1, C2, ,Cn be a sequence of conc...

Let `C_1, C_2, ,C_n ` be a sequence of concentric circle. The nth circle has the radius `n` and it has `n` openings. A points `P` starts travelling on the smallest circle `C_1` and leaves it at an opening along the normal at the point of opening to reach the next circle `C_2` . Then it moves on the second circle `C_2` and leaves it likewise to reach the third circle `C_3` and so on. Find the total number of different path in which the point can come out of nth circle.

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