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If xyz was given as equal to zero, than the answer would have been totally different
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x^2*y*z + x*y^2*z+x*y*z^2 =?

i.e xyz(x+y+z) =?

1. Not sufficient.

x+y+z = 18. there is no way we can find out the value of xyz from this . as different x,y,z combinations will yield
different xyz.

2. Not sufficient.

xyz = 10

there is no way we can find out the value of x+y+z from this . as different x,y,z combinations will yield
different x+y+z.

1&2 together, its sufficient to find out xyz(x+y+z).

Answer is C.
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