In the polynomial (x−1)(x−2)(x−3)...(x−100), the coefficient of x99 is
Given polynomial, (x−1)(x−2)(x−3)...(x−100)
Number of terms =100
Coefficient of x99 in (x−1)(x−2)(x−3)...(x−100)
=(−1−2−3−..........−100)=−(1+2+.........+100)
=−100×1012=−5050