The coefficient of `x^15` in the product of `(1-x)(1-2x)(1-2^2 x)(1- 2^3 x) (1-2^4 x) ......(1-2^15 x)`

The coefficient of x^15 in the product (1-x)(1-2x) (1-2^2 x) (1-2^3 x) …. (1-2^15 x) is :

The coefficient of x^15 in the product (1-x)(1-2x) (1-2^2 x) (1-2^3 x) …. (1-2^15 x) is : (a) 2^105 - 2^121 (b) 2^121 - 2^105 (c) 2^104 - 2^120 (d) 2^108 -2^110

Find the cofficient of x^(10) in the expansion of (1-2x+3x^(2))(1-x)^(15) .

The coefficient of x^(4) in the expansion of (1+2x+3x^(2))/((1-x)^(2)) is-

The coefficient of x^(2) in (1)/((1-x)(1-2x)(1-3x)) is

The coefficient of x^(2) in (1+x)(1+2x)(1+4x)...(1+2^(n)x)

The coefficient of x^(4) in ((1+x)/(1-x))^(2),|x|<1, is