If x-x- y-y-z-z- - x-y-y-z-z-x- - x-z-y-x-z-y- such that x- y and z are positive integers greater than 1- then which of the following cannot be true any of the possible value of x- y and z-xyz - 27xyz - 1728x - y - z - 32x - y - z - 12

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If xx.yy.zz=xy.yz.zx=xz.yx.zy such that x,y and z are positive integers greater than 1, then which of the following cannot be true for any of the possible value of x,y and z?xyz=27xyz=1728x+y+z=32x+y+z=12

If $x^{x} . y^{y} . z^{z} = x^{y} . y^{z} . z^{x} = x^{z} . y^{x} . z^{y}$ such that $x, y$ and $z$ are positive integers greater than $1$ , then which of the following cannot be true for any of the possible value of $x, y$ and $z$ ?
$x y z = 27$
$x y z = 1728$
$x + y + z = 32$
$x + y + z = 12$