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MathNet 2009-part-02 — 175 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 116

Suppose there are $6$ red, $3$ blue and $3$ yellow balls. When you place all of these balls on a straight line, how many distinguishable ways of lining them up are there, in which no adjacent balls are of the same color? Assume that balls of the same color are non-distinguishable.