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02 Jul 2015, 02:21
Kudos
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B
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:
78% (01:05) correct
22%
(01:16)
wrong
based on 632
sessions
History
Date
Time
Result
Not Attempted Yet
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations of soloists can appear in the liner notes?
A. 5!
B. 10!/(5!5!)
C. 10!/5!
D. 10!
E. 10!*5!
Kudos for a correct solution.
A. 5!
B. 10!/(5!5!)
C. 10!/5!
D. 10!
E. 10!*5!
Kudos for a correct solution.
NickHalden
Joined: 15 Feb 2012
Last visit: 19 Jun 2016
Posts: 71
Given Kudos: 216
Status:Perspiring
Concentration: Marketing, Strategy
Schools: NUS '17 Rotman '17 LBS '17 Ross '17 Duke '17 Wharton '17 Kellogg '17 Tepper '17 Tuck '17 Anderson '17 Darden '17 Kenan-Flagler '17 McCombs '17 Jones '17 Kelley '18 (S)
GPA: 3.6
WE:Engineering (Computer Software)
02 Jul 2015, 02:26
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Bookmarks
There are 10 soloists ------------- (1)
Room available is only for 5 soloists -------------- (2)
There is no issue for sequencing, i.e selected 5 soloists say for eg : A,B,C,D,E are same as C,E,D,B,A
Therefore from (1) & (2),
Number of ways of selecting 5 different soloists from 10 is 10C5
= 10!/(5!*5!)
Room available is only for 5 soloists -------------- (2)
There is no issue for sequencing, i.e selected 5 soloists say for eg : A,B,C,D,E are same as C,E,D,B,A
Therefore from (1) & (2),
Number of ways of selecting 5 different soloists from 10 is 10C5
= 10!/(5!*5!)
02 Jul 2015, 22:32
Kudos
Bookmarks
Bunuel
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations of soloists can appear in the liner notes?
A. 5!
B. 10!/(5!5!)
C. 10!/5!
D. 10!
E. 10!*5!
Kudos for a correct solution.
A. 5!
B. 10!/(5!5!)
C. 10!/5!
D. 10!
E. 10!*5!
Kudos for a correct solution.
Answer: 1st page can be filled in 10 ways, 2nd page in 9 ways,....5th page in 6 ways.
therefore, total combination = 10*9*8*7*6 = (10!)/5!
