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Problem 5

Avg difficulty 3.0

A bracelet consists of 3 beads that each can be one of nn colours. Two bracelets are the same if the rotation of one yields the other, or if one can be obtained via reflecting about a line, or any combination of these two actions. How many distinct bracelets are there?

Kan, A Complete Introduction to Abstract Algebra, Groups, Group Actions, Problem 5

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Adapted from A Complete Introduction to Abstract Algebra © 2022–2026 Kan Onn Kit. Licensed under CC BY-SA 4.0. Source: A Complete Introduction to Abstract Algebra. Imported at revision a559e8b.