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  4. In the expansion of (x - 1) (x - 2) .... (x - 18), the coefficient of x17 is

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Q. In the expansion of $(x - 1) (x - 2) .... (x - 18)$, the coefficient of $x^{17}$ is

WBJEEWBJEE 2016Binomial Theorem

Solution:

Coefficient of $x^{17}$ is: $-\left(1+2+3+ .......+18\right)=-\left(\frac{18\times19}{2}\right)=-171$