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

  • A

    $\frac{{n!}}{{n!n!}}$

  • B

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

  • C

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

  • D

    None of these

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