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The coefficient of x^((n^(2)+n-14)/(2)) ...

The coefficient of `x^((n^(2)+n-14)/(2))` in `(x-1)(x^(2)-2)(x^(3(-3)(x^(4)-4))…(x^(n)-n),nge30` is equal to :

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The correct Answer is:
0
Highest power of `x=(n(n+1))/2=m` (let) have to find coefficient of `x^(m-9)`
`=9+(-8xx-1)+(-7xx-2)+(-6xx-3)+(-5xx-4)+(-6xx-2xx-1)+(-5xx-3xx-1)+(-4xx-3xx-2)=0`
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