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In the expansion of \((x-1)(x-2) \ldots .(x-18)\), the coefficient of \(x^{17}\) is
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Dec 8, 2021
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Dec 20, 2021
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deepak01
In the expansion of \((x-1)(x-2) \ldots(x-18)\), the coefficient of \(x^{17}\) is
(A) 684
(B) \(-171\)
(C) 171
(D) \(-342\)
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Dec 20, 2021
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Ans : (B)
Coefficient of \(x^{17}\) is: \(-(1+2+3+\ldots \ldots+18)=-\left(\frac{18 \times 19}{2}\right)=-171\)
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