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26 Mar 2017, 07:01
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:48) correct
32%
(02:09)
wrong
based on 495
sessions
History
Date
Time
Result
Not Attempted Yet
A book store has received 8 different books, of which 3/8 are novels, 25% are study guides and remaining are textbooks. If all books must be placed on one shelf displaying new items and if books in the same category have to be shelved next to each other, how many different arrangements of books are possible?
A. 18
B. 36
C. 72
D. 216
E. 432
A. 18
B. 36
C. 72
D. 216
E. 432
26 Mar 2017, 09:12
Kudos
Bookmarks
Answer: [E]
novels = 3
study guides = 2
textbooks = 3
total ways = 3! * 3! * 2! * 3! = 432 [arrangement between categories (3!) * individual arrangements ]
novels = 3
study guides = 2
textbooks = 3
total ways = 3! * 3! * 2! * 3! = 432 [arrangement between categories (3!) * individual arrangements ]
24 May 2017, 23:28
Kudos
Bookmarks
There are 3 Novels, 2 Study Guides, and 3 Text Books.
The question specifies that books in the same category have to be shelved next to each other. This gives us 3! in addition to all of the different arrangements within each category.
Thus, Novel arrangements * Study Guide arrangements * Text Book arrangements * Category arrangements on the shelf = 3! * 2! * 3! * 3! = 432
The question specifies that books in the same category have to be shelved next to each other. This gives us 3! in addition to all of the different arrangements within each category.
Thus, Novel arrangements * Study Guide arrangements * Text Book arrangements * Category arrangements on the shelf = 3! * 2! * 3! * 3! = 432
