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Unformatted text preview: colors. Count the number of ways to color the edges of a cube with r colors; the answer is a polynomial in r . 5.2.4. Count the number of ways to color the vertices of a cube with three colors. Count the number of ways to color the vertices of a cube with r colors. 5.2.5. Count the number of ways to color the faces of a dodecahedron with three colors. Count the number of ways to color the faces of a dodecahedron with r colors. 5.3. Symmetries of Groups A mathematical object is a set with some structure. A bijection of the set that preserves the structure is undetectable insofar as that structure is...
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 Fall '08
 EVERAGE
 Algebra

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