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If c0, c1,c2,...., cn denote the coefficient in the binomial expansion of (1+x)^n, then prove that c3 + 2c4 + 3c5+....+(2n-2)cn=(n-4).2^n-1 + n +2 . If c0, c1,c2,...., cn denote the coefficient in the binomial expansion of (1+x)^n, then prove that c3 + 2c4 + 3c5+....+(2n-2)cn=(n-4).2^n-1 + n +2 .
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