Two fair dice, each with at least 6 faces, are rolled. On each face of each die is printed a distinct integer from 1 to the number of faces on that die, inclusive. The probability of rolling a sum of 7 is of the probability of rolling a sum of 10, and the probability of rolling a sum of 12 is . What is the least possible number of faces on the two dice combined? (A) 16 (В) 17 (С) 18 (D) 19 (E) 20

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