The coefficient of `x^(49)` in the product `(x-1)(x-3)(x+99)i s` `-99^2` b. `1` c. `-2500` d. none of these

The coefficient of x^(20) in (1 + 3x + 3x^(2) + x^(3))^(20) ,I s

Find the coefficient of x^99 and x^98 in the polynomial (x-1)(x-2)(x-3)………..(x-100).

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^(2))...(x-2^(19)) is 2^(20)-2^(19) b.1-2^(20) c.2^(20) d.none of these

If (x)=1-x+x^(2)-x^(3)++^(15)+x^(16)-x^(17)f(x)=1-x+x^(2)-x^(3)++1^(15)+x^(16)-x^(17) then the coefficient of x^(2)in f(x-1) is 826 b.816 c.822 d.none of these

The coefficient of x^(49) in the expansion of (x-1)(x-(1)/(2))(x-(1)/(2^(2)))......*(x+(1)/(2^(49))) is equal to

Fill in the blanks The coefficient of x^(99) in the polynomial (x-1)(x-2).........(x-100)is_(-)-_(-)-

The coefficient of x^5 in the expansion of (1+x^2)^5+(1+x)^4 is (A) 30 (B) 60(C) 40(D) none of these