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5. What if my movie marathon consists of exactly five distinct movies: two movies from one of the trilogies, 2 movies from a 2nd trilogy,

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5. What if my movie marathon consists of exactly five distinct movies: two movies from one of the trilogies, 2 movies from a 2nd trilogy, and 1 movie from a 3rd. The movies can be watched in whatever order I choose and the same five movies watched in a different order constitute a different marathon. Now how many movie marathons are possible

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