Thirty-seven Hollywood movies will be released in August 2015. The Regal Frederi

Question

Thirty-seven Hollywood movies will be released in August 2015. The Regal Fredericksburg 15 has fteen theatres in which they can show lms. How many dierent summer lineups do the managers of the theatres have to choose from, assuming they don’t want to “spend” any of their theatres by showing the same movie in more than one of them? (One lineup is the one that contains The Fantastic Four, Diary of a Teenage Girl, The Gift, and 12 others. Another lineup is the one where they have all those same movies, but dump The Gift in favor of Max Steel instead. Etc. It doesn’t matter which physical theatre each lm is shown in; that just depends on expected crowd size.)

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