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For the expansion of (1 + x)^n= C0+C1x+C...

For the expansion of `(1 + x)^n= C_0+C_1x+C_2x^2+......+ C_n x^n`, show that `C_j` 's taken two at a time represented by `Sigma C_(ij), 0lei lej len` is equal to `2^(2n-1)-((2n)!)/(2(n!)^2)` .

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