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If alpha(1), alpha(2), …….., alpha(n) a...

If `alpha_(1), alpha_(2), …….., alpha_(n)` are the `n,n^(th)` roots of unity, `alpha_(r )=e (i2(r-1)pi)/(n), r=1,2,…n` then `""^(n)C_(1)alpha_(1)+""^(n)C_(2)alpha_(2)+…..+""^(n)C_(n)alpha_(n)` is equal to :

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