If ${a^x} = {(x + y + z)^y},{a^y} = {(x + y + z)^z}$, ${a^z} = {(x + y + z)^x},$ then

  • A

    $x = y = z = a/3$

  • B

    $x + y + z = a/3$

  • C

    $x + y + z = 0$

  • D

    None of these

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