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Let N = 2000C1 + 2* 2000C2 +3 * 2000C3 ...

Let `N = 2000C_1 + 2* 2000C_2 +3 * 2000C_3 + ...... + 2000 * 2000C_2000`. Prove that N is divisible by `2^2003` Find the coefficient of

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