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MathNet 2020 — Math Olympiad Vault — Part 02 Question 126

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

Question 126

Jody has 6 distinguishable balls and 6 distinguishable sticks, all of the same length. How many ways are there to use the sticks to connect the balls so that two disjoint non-interlocking triangles are formed? Consider rotations and reflections of the same arrangement to be indistinguishable.