If ${\left( {1 + x} \right)^n} = {c_0} + {c_1}x + {c_2}{x^2} + {c_3}{x^3} + ...... + {c_n}{x^n}$ , then the value of ${c_0} - 3{c_1} + 5{c_2} - ........ + {( - 1)^n}\,(2n + 1){c_n}$ is

  • A

    $\left( {n - 1} \right){.2^n}$

  • B

    $0$

  • C

    $\left( {1 - 2n} \right){.2^{n - 1}}$

  • D

    $\left( {1 - n} \right){.2^n}$

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