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Hermione is arranging her spell books on the shelf of her dorm room. She has 6 different books of fire spells, 3 different books containing

Hermione is arranging her spell books on the shelf of her dorm room. She has 6 different books of fire spells, 3 different books containing ice spells, and 3 different books for lightning spells. In how many possible ways can Hermione arrange her spell books, if no two books of the same kind can be adjacent?

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