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

• A

  $2^{121}-2^{104}$
• B

  $2^{105}+2^{124}$
• Correct answer
  C

  $2^{105}-2^{121}$
• D

  $2^{120}-2^{104}$

Hence, the correct answer is option: 'C'.