WBJEE · Maths · Binomial Theorem
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
Answer & Solution
Correct Answer
(B) -171
Step-by-step Solution
Detailed explanation
Coefficient of \(x^{17}\) in \((x-1)(x-2) \ldots(x-18)\) \[ \begin{array}{l} =-(1+2+3+\ldots+16) \\ =-(171)=-171 \end{array} \]
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