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Explanation:

The given expression may be represented as

xy+xz+yx+yz+zx+zy

We know that, A.M. ≥ G.M.

xy+xz+yx+yz+zx+zy6xy×xz×yx×yz×zx×zy6

xy+xz+yx+yz+zx+zy6

∴ The given expression will have a minimum value of 6.

But x, y and z are distinct, so the value will always be greater than 6.

Hence, option (c).

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