Question 1193588: 1. A librarian has purchased 6 new books for the small community library in his town. 2
out of 6 books have the same title - The Kite Runner. The rest of the titles are given
as follows:
1. The 100-Year-Old Man Who Climbed Out the Window and Disappeared
2. The Girl Who Saved the King of Sweden
3. Crazy Rich Asians
4. Confessions of a Shopaholic
As an additional information, book 1 and book 2 above are written by the same author,
Jonas Jonasson. How many ways all these new books can be arranged if the books
written by Jonas Jonasson have to be together?
Answer by yurtman(42)   (Show Source):
You can put this solution on YOUR website! **1. Group Books by Author:**
* Since the books by Jonas Jonasson must be together, we can treat them as a single unit.
* So, we now have 5 units to arrange:
* "The 100-Year-Old Man..." & "The Girl Who Saved the King of Sweden" (grouped)
* "Crazy Rich Asians"
* "Confessions of a Shopaholic"
* "The Kite Runner"
* "The Kite Runner"
**2. Permutations of the Grouped Units:**
* There are 5! (5 factorial) ways to arrange these 5 units.
* 5! = 5 * 4 * 3 * 2 * 1 = 120 ways
**3. Arrangements within the Author Group:**
* The two books by Jonas Jonasson can be arranged among themselves in 2! (2 factorial) ways.
* 2! = 2 * 1 = 2 ways
**4. Total Arrangements:**
* Total Arrangements = Permutations of Grouped Units * Arrangements within Author Group
* Total Arrangements = 120 * 2 = 240 ways
**Therefore, there are 240 different ways to arrange the books if the books written by Jonas Jonasson must be together.**
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