Dolores has a collection of eight books, including “The Great Gatsby” and “The South Beach Diet”. How many ways can she arrange three of her books on a bookshelf, where “The Great Gatsby” and “The South Beach Diet” are not next to each other? Note: Any arrangement where either “The Great Gatsby” or “The South Beach Diet” do not appear is acceptable.
You do realize that reposting doesn't increase your chances of getting an answer, right? It only annoys the moderators.