If ${(1 + x)^n} = {C_0} + {C_1}x + {C_2}{x^2} + .......... + {C_n}{x^n}$, then $\frac{{{C_1}}}{{{C_0}}} + \frac{{2{C_2}}}{{{C_1}}} + \frac{{3{C_3}}}{{{C_2}}} + .... + \frac{{n{C_n}}}{{{C_{n - 1}}}} = $

  • A

    $\frac{{n(n - 1)}}{2}$

  • B

    $\frac{{n(n + 2)}}{2}$

  • C

    $\frac{{n(n + 1)}}{2}$

  • D

    $\frac{{(n - 1)(n - 2)}}{2}$

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