The coefficient of $x^{15}$ in the product $(1-x)(1-2 x)\left(1-2^2 x\right)\left(1-2^3 x\right)…

The coefficient of $x^{15}$ in the product $(1-x)(1-2 x)\left(1-2^2 x\right)\left(1-2^3 x\right) \ldots\left(1-2^{15} x\right)$ is
  1. $2^{121}-2^{104}$
  2. $2^{105}+2^{124}$
  3. $2^{105}-2^{121}$
  4. $2^{120}-2^{104}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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