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The coefficient of x^9 in the expansion ...

The coefficient of `x^9` in the expansion of `(1 + x) (1 +x^2)(1 +x^3)...(1+x^(100))`is

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Coefficient of `x^9` in the expansion of
`(1+x)(1+x^2)(1+x^3)......(1+x^100)= " Terms having "x^9`
`=[1^99.x^9,1^98.x.x^8,1^98.x^2.x^7,1^98.x^3.x^6, 1^98.x^4.x^5,1^97.x.x^2.x^6,1^97.x.x^3.x^5,1^97.x^2.x^3.x^4]`
`therefore` Coefficient of `x^9=8`.
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