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A bookshelf contains 10 novels, 8 programming, and 24 computer games books. A. In how many ways can we place all the books on the shelf? B. Now we would like to rearrange the books so that each subcategory is placed on one level of the shelf. In addition, we want to rearrange the books alphabetically based on the author's family name. If you have two books with the same author's family name, you may disregard their orders. In how many ways can we arrange the books on the shelf then? C. In how many ways can we select three novels, two programming, and 4 computer science books from the collection? The order of your choice is irrelevant.

A bookshelf contains 10 novels, 8 programming, and 24 computer games books. A. In how many ways can we place all the books on the shelf? B. Now we would like to rearrange the books so that each subcategory is placed on one level of the shelf. In addition, we want to rearrange the books alphabetically based on the author's family name. If you have two books with the same author's family name, you may disregard their orders. In how many ways can we arrange the books on the shelf then? C. In how many ways can we select three novels, two programming, and 4 computer science books from the collection? The order of your choice is irrelevant.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A bookshelf contains 10 novels, 8 programming, and 24 computer games books. A. In how many ways can we place all the books on the shelf? B. Now we would like to rearrange the books so that each subcategory is placed on one level of the shelf. In addition, we want to rearrange the books alphabetically based on the author's family name. If you have two books with the same author's family name, you may disregard their orders. In how many ways can we arrange the books on the shelf then? C. In how many ways can we select three novels, two programming, and 4 computer science books from the collection? The order of your choice is irrelevant.
Transcribed Image Text:A bookshelf contains 10 novels, 8 programming, and 24 computer games books. A. In how many ways can we place all the books on the shelf? B. Now we would like to rearrange the books so that each subcategory is placed on one level of the shelf. In addition, we want to rearrange the books alphabetically based on the author's family name. If you have two books with the same author's family name, you may disregard their orders. In how many ways can we arrange the books on the shelf then? C. In how many ways can we select three novels, two programming, and 4 computer science books from the collection? The order of your choice is irrelevant.
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