Last visit was: 02 Jan 2026, 13:24 It is currently 02 Jan 2026, 13:24
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A promoter is organizing an opera concert. Ten singers are a

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 34323
Own Kudos [?]: 40694 [0]
Given Kudos: 26657
Send PM
A promoter is organizing an opera concert. Ten singers are a [#permalink] New post   27 Aug 2018, 13:57
Expert Reply
00:00

Question Stats:

64% (01:55) correct 35% (01:54) wrong based on 14 sessions

Hide Show timer Statistics

A promoter is organizing an opera concert. Ten singers are available for the program: 3 sopranos, 3 mezzos, 2 tenors and 2 baritones. If the promoter intends every segment to be a duet by performers with different vocal ranges, how many pairings of performers are possible?


A. 6

B. 10

C. 24

D. 36

E. 37
ShowHide Answer
Official Answer
E
avatar
gurjubau
Intern
Intern
Joined: 29 Jun 2018
Posts: 21
Own Kudos [?]: 29 [0]
Given Kudos: 0
Send PM
Re: A promoter is organizing an opera concert. Ten singers are a [#permalink] New post   28 Aug 2018, 06:39
2
A promoter is organizing an opera concert. Ten singers are available for the program: 3 sopranos, 3 mezzos, 2 tenors and 2 baritones. If the promoter intends every segment to be a duet by performers with different vocal ranges, how many pairings of performers are possible?


The solution here is to find number of combination by organizing each pair of singers to other.

1. So we have groups of 3M 3S 2T 2B

2. Lets pair them

M S = 3C1 * 3C1 = 9
M T = 3C1 * 2C1 = 6
M B = 3C1 * 2C1 = 6
S T = 3C1 * 2C1 = 6
S B = 3C1 * 2C1 = 6
T B = 2C1 * 2C1 = 4


Total = 37

answer is E
Prep Club for GRE Bot
gmatclubot
Re: A promoter is organizing an opera concert. Ten singers are a [#permalink]
28 Aug 2018, 06:39
Moderators:
adewale223
GRE Instructor
137 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1141 posts
VibhuAnurag
GRE Instructor
234 posts
Nsp10
Moderator
40 posts
tyrant100
GRE Forum Moderator
126 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact