A cuboid of dimensions 4 in. X 6 in. X 7 in. is painted on all six faces with the same color. It is then completely cut into identical small cubes, each of side 1 in. What is the ratio of the number of cubes with no face painted to the number of cubes with exactly one face painted to those with exactly two faces painted?

A) 10:19:11

B) 11:19:10

C) 20:19:11

D) 20:38:11

E) 20:38:33

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