1.

Prove that the coefficient of x^(n) in the expansion of (1 + x)^(2n) is twice the coefficient of x^(n) in the expansion of (1 + x)^(2n - 1).

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ANSWER :The coefficient of `x^(N)` in the expansion of `(1 + x)^(2N)` is twice the coefficient of `x^(n)` in the expansion of `(1 + x)^(2n -1)`


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