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Show that the coefficient of x^(k) (0 le...

Show that the coefficient of `x^(k) (0 le k le n)` in the expansion of
`1+(1+x)+(1+x)^(2)+…+(1+x)^(n)` is `""^(n+1)C_(K+1)`.

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The correct Answer is:
`""^(n+1)C_(n-k)`
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