CombinatoricsDifficulty 3.0AMC 10/12Find the answerCanada
Sixty-four white 1×1×1 cubes are used to form a 4×4×4 cube, which is then painted red on each of its six faces. This large cube is then broken up into its 64 unit cubes. Each unit cube is given a score as follows: Exact number of faces painted red: 3, Score: 3; Exact number of faces painted red: 2, Score: 2; Exact number of faces painted red: 1, Score: 1; Exact number of faces painted red: 0, Score: −7. The total score for the 4×4×4 cube is
(A) 40 (B) 41 (C) 42 (D) 43 (E) 44
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