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In the polynomial $(x - 1) (x - 2) (x - 3) \dots (x - 100)$ the coefficient of X⁹⁹is

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Correct option is B

We have, (x−1)(x−2)(x−3)…(x−100) Numbers of terms =100=(−1−2−3−…−100)∴=−(1+2+…+100)=−100×1012=−5050

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In the polynomial (x−1)(x−2)(x−3)…(x−100) the coefficient of X99 is

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In the polynomial $(x - 1) (x - 2) (x - 3) \dots (x - 100)$ the coefficient of X⁹⁹is