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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Two standard dice are placed on a table, with one on top of the other, so that only nine of the faces of the dice may be seen. The touching faces have the same number on them. The sum of the numbers on the visible faces is 33. What is the number on the touching faces?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $6$

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