If there are 4 Geometry books, 2 Trigonometry books, and 1 Statistics book, how many ways can he arrange the top layer of the shelf? - If there are 5 Biology books, 4 Chemistry books, and 2 Earth Science books, how many ways can he arrange the middle layer? - If there are 8 Literature books and 2 books in Linguistics, how many ways can he arrange the bottom layer?
Jacob is a librarian. He has a three-layer bookshelf for references in the school library. The top layer is for Math references (distinct books in Geometry, Trigonometry and Statistics), the middle layer is for Science references (distinct books in Biology, Chemistry and Earth Science) and the bottom layer is for English references (distinct books in Literature and Linguistics). He wants to know the number of arrangements of his books per layer.
- If there are 4 Geometry books, 2 Trigonometry books, and 1 Statistics book, how many ways can he arrange the top layer of the shelf?
- If there are 5 Biology books, 4 Chemistry books, and 2 Earth Science books, how many ways can he arrange the middle layer?
- If there are 8 Literature books and 2 books in Linguistics, how many ways can he arrange the bottom layer?
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