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

If `(1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+.....+C_(n)x^(n)` then show :
`C_(0)C_(1)+C_(1)C_(2)+C_(2)C_(3)+.....+C__(n-1)C_(n)=((2n)!)/((n+1)!(n-1)!)`

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