1. An empty bookcase has 6 shelves, and each shelf can hold no more than 50 books. You want to arrange 60 books in the bookcase so that the same number of books is on each shelf used. a. List the factors of 60. b. List the factors of 60 that represent the number of books that could be on each shelf. c. How many different arrangements of books are possible? d. What are the possible arrangements of the books? e. Which arrangement uses all of the shelves? Answer:

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1. An empty bookcase has 6 shelves, and each shelf can hold no more than 50 books. You want to arrange 60 books in the bookcase so that the same number of books is on each shelf used. a. List the factors of 60. b. List the factors of 60 that represent the number of books that could be on each shelf. c. How many different arrangements of books are possible? d. What are the possible arrangements of the books? e. Which arrangement uses all of the shelves? Answer:

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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