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MathNet 2020 — Math Olympiad Vault — Part 02 Question 2

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02

Question 2

Lieneke is making bracelets with beads. Each bracelet has six beads: two white, two grey, and two black beads. Some bracelets look different on first sight, but are actually not different: by turning or flipping the first one over, it looks the same as the other one. For example, the following three bracelets are the same.
Question illustration
Question illustration
Question illustration
How many really different bracelets can Lieneke make?
A) 10
B) 11
C) 12
D) 14
E) 15