The coefficient of \( x^{n-2} \) in the polynomial \( (x-1)(x-2)(x-...
The coefficient of \( x^{n-2} \) in the polynomial \( (x-1)(x-2)(x-3) \ldots(x-n) \), is
\( \mathrm{P} \)
(a) \( \frac{n\left(n^{2}+2\right)(3 n+1)}{24} \)
(b) \( \frac{n\left(n^{2}-1\right)(3 n+2)}{24} \)
(c) \( \frac{n\left(n^{2}+1\right)(3 n+4)}{24} \)
(d) None of the above
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