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counting and probability intermediate

Problem

In how many ways can 6 distinct beads be placed on a bracelet? (Note that two arrangements are the same if one can be rotated or reflected to produce the other.)
Solution
There are ways to place the beads on the bracelet, but we must divide by 6 for rotational symmetry (6 rotations for each arrangement), and by 2 for reflectional symmetry (we can flip the bracelet to get the same arrangement). The answer is .
Final answer
60