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=27
xyz=1728
x+y+z=32
x+y+z=12
A
xyz=27
B
xyz=1728
C
x+y+z=32
D
x+y+z=12
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