1.

If the coefficient of x^((n^(2)+n-18)/2) in (x-1)(x^(2)-2)(x^(3)-3)(x^(4)-4)….(x^(n)-n), where (nge8) is k, then k is equal to ___________

Answer»


SOLUTION :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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