Bunuel wrote:
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 (i.e. NO ARRANGEMENT). 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.
Given:
Total Soloists to choose from = 10
Soloist Required = 5Question : How many different combinations of soloists can appear in the liner notes?The language of the question clearly mentions that only the combinations need to be calculated
i.e. Arrangement of the Soloists does NOT matter (Refer the
Highlighted part of the question)
Method-1:Total Ways to Choose 5 out of 10 soloists = 10
C5 = 10! / (5!*5!)
Method-2:No. of ways to select and arrange 5 soloist on 5 Page = 10*9*8*7*6
Since the arrangement of 5 selected Notes (which can happen in 5! ways) doesn't NOT matter,
Therefore total ways to pick 5 out of 10 soloists = 10*9*8*7*6 / 5! = 10*9*8*7*6 *5! / (5!*5!) = 10! / (5!*5!)
Answer: Option B _________________
Great Results (Q≥50 and V≥40) l Honest and Effective Admission Support l 100% Satisfaction !!!
One-on-One GMAT Skype classes l On-demand Quant Courses and Pricing l Admissions ConsultingCall/mail: +91-9999687183 l bhoopendra.singh@gmatinsight.com (for FREE Demo class/consultation)
SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l OG QUANT 50 Qn+VIDEO Sol.