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The coefficient of x^(n-2) in the polyno...

The coefficient of `x^(n-2)` in the polynomial `(x-1)(x-2)(x-3)...(x-n)` is

A

`(n(n^(2)+2)(3n+1))/(24)`

B

`(n(n^(2)-1)(3n+2))/(24)`

C

`(n(n^(2)+1)(3n+4))/(24)`

D

`(n(n^(2)-2)(3n-2))/(24)`

Text Solution

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The correct Answer is:
B
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