9.In an attempt to clean up your room, you have purchased a new floating shelf to...

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9.In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 20 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 12 of the books. a) How many ways can you select and arrange 20 of the 12 books on the shelf? Notice that here we will allow the books to end up in any order. Explain. b) How many ways can you arrange 20 of the 12 books on the shelf if you insist they must be arranged alphabetically by author? Explain. 9.In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 20 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 12 of the books. a) How many ways can you select and arrange 20 of the 12 books on the shelf? Notice that here we will allow the books to end up in any order. Explain. b) How many ways can you arrange 20 of the 12 books on the shelf if you insist they must be arranged alphabetically by author? Explain.

Answer rating: 100% (QA)

Part a This can be solved using the combination and permutation formulas Combination The number of ways to choose 12 books out of 20 is C20 12 20 12 8 125970 Permutation The number of ways to arrange ... View the full answer