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A student has 12 video games: 5 adventure games, 2 arcade games, 2 puzzle games, and 3 simulation games. How many ways can the games

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A student has 12 video games: 5 adventure games, 2 arcade games, 2 puzzle games, and 3 simulation games. How many ways can the games be positioned on a shelf if the games stay with their genre? . . . The games can be positioned on the shelf in ways . (Type an integer.)

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