Let $(1 + x)^m = C_0 + C_1x + C_2x^2 + C_3x^3 + . . . . . +C_mx^m$,  where $C_r ={}^m{C_r}$ and $A = C_1C_3 + C_2C_4+ C_3C_5 + C_4C_6 + . . . . . .. + C_{m-2}C_m$,  then which is false

  • A

    $A \ge {}^{2m}{C_{m - 2}}$

  • B

    $A < {}^{2m}{C_{m - 2}}$

  • C

    $A = {}^{2m}{C_{m - 2}} - {}^m{C_2}$

  • D

    $A < {C^2}_0 + {C^2}_1 + {C^2}_1 + .......{C^2}_m$

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