A bead is placed at each of the four vertices of a square, and each bead is to be

Chapter 57, Problem 57.5

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A bead is placed at each of the four vertices of a square, and each bead is to be painted eitherred (R) or blue (B). Under equivalence relative to the group of rotations of the square, thereare six distinguishable patterns:RR RR RR RB RB BB DDDDDDR R R B B B B R B B B BVerify that Burnside's Counting Theorem gives the correct number of distinguishable patterns

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