or one of the 4 permutations each of 1 1 1 3or 3 1 1 1 Thus there are 24 2 6 2

Or one of the 4 permutations each of 1 1 1 3or 3 1 1

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Difficulty: Hard NCTM Standard: Algebra Standard for Grades 9–12: generalize patterns using explicitly defined and recursively defined functions.
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A regular dodecahedron is to have 9 of its faces colored whiteand the remaining 3 faces colored blue.Two colorings areconsidered the same if one can be obtained from the other bya rotation of the dodecahedron. How many different coloringsare there? 2010 AMC 10 B, Problem #252010 AMC 12 B, Problem #22“Label faces of dodecahedron and divided into cases.” Difficulty: Hard NCTM Standard: Geometry Standard for Grades 9–12: analyze properties and determine attributes of two- and three-dimensional objects.
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