Mathematics · Group Theory and Combinatorics
Consider strings of length 2 made from blue (b) and yellow (y) beads: S = {bb, by, yb, yy}. If the ends of a string are indistinguishable, the permutation group action on S is given by G = {Π1, Π2}, where: Π1 maps (bb, by, yb, yy) to (bb, by, yb, yy) Π2 maps (bb, by, yb, yy) to (bb, yb, by, yy) Find the number of equivalence classes (distinct strings) induced by this group action.
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