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If (1+x)^n=C(0)+C(1)x+C(2)x^2+….+C(n)x^n...

If `(1+x)^n=C_(0)+C_(1)x+C_(2)x^2+….+C_(n)x^n` then prove that `(SigmaSigma)_(0 le i lt j le n ) C_(i)C_(j)^2=(n-1)^(2n)C_(n)+2^(2n)`

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