The coefficient of $x^{49}$ in the expansion of $(x - 1)$$\left( {x\, - \,\frac{1}{2}\,} \right)$$\left( {x\, - \,\frac{1}{{{2^2}}}\,} \right)$ .....$\left( {x\, - \,\frac{1}{{{2^{49}}}}\,} \right)$ is equal to

  • A

    $-2 \left( {1\, - \,\frac{1}{{{2^{50}}}}\,} \right)$

  • B

    $+$ ve coefficient of $x$

  • C

    $-$ ve coefficient of $x$

  • D

    $-2 \left( {1\, - \,\frac{1}{{{2^{49}}}}\,} \right)$

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