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RenB
Joined: 13 Jul 2022
Last visit: 30 Apr 2026
Posts: 388
Given Kudos: 304
Location: India
Concentration: Finance, Nonprofit
Schools: Stanford '26 Wharton '26 (D) Booth '26 (D) Yale '26 (D) CBS '26 (A$$$) Darden '26 (WL) HBS '26 (D) Ross '26 (A$$$$) LBS '26 (D) Tuck '26 (A$$) Kellogg '26 (A)
GMAT Focus 1: 715 Q90 V84 DI82 
GPA: 3.74
WE:Corporate Finance (Consulting)
Schools: Stanford '26 Wharton '26 (D) Booth '26 (D) Yale '26 (D) CBS '26 (A$$$) Darden '26 (WL) HBS '26 (D) Ross '26 (A$$$$) LBS '26 (D) Tuck '26 (A$$) Kellogg '26 (A)
GMAT Focus 1: 715 Q90 V84 DI82
Posts: 388
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (01:18) correct
21%
(01:28)
wrong
based on 68
sessions
History
Date
Time
Result
Not Attempted Yet
In how many ways can 8 different books be distributed among David, Liam and Sophia so that David is given 2 of the books, Liam is given 3 and Sophia is given 3?
A. 8!/(2!*3!*3!)
B. 8!/(2!*3!)
C. 8!/(3!)
D. 8!/(2!)
E. 8!
A. 8!/(2!*3!*3!)
B. 8!/(2!*3!)
C. 8!/(3!)
D. 8!/(2!)
E. 8!
28 Mar 2023, 00:56
Kudos
Bookmarks
RenB
Consider those 8 different books in a row:
- 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8
Next, imagine 2 D's, 3 L's and 3 S's. We can arrange these 8 letters in 8!/(2!*3!*3!), each arrangement giving different distribution of books among David, Liam and Sophia. For example,
- 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8
S - D - D - L - L - S - S - L
This would mean that Sophia gets books 1, 6, and 7; David gets books 2 and 3; and Liam gets books 4, 5, and 8.
Answer: A.
For similar questions check DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION)
Hope it helps.
