Unformatted text preview: that can be made from four red beads, three white beads, and two yellow beads. X is the set of 9Š 4Š3Š2Š D 1260 arrangements of the beads, which we locate at the nine vertices of a nonagon. Let g be an element of D 9 and consider the orbits of h g i acting on vertices of the nonagon. An arrangement of the colored beads is ﬁxed by g if, and only if, all vertices of each orbit of the action of h g i are of the same color. Every arrangement is ﬁxed by e ....
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 Fall '08
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 Algebra, Group Theory, Counting, jO j

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