GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 01 Jul 2022, 08:44
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT 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 GMAT 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
Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round
9 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 11852
GMAT 1: 760 Q51 V42
GPA: 3.82
Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  29 Apr 2019, 17:31
3
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

62% (01:13) correct 38% (01:28) wrong based on 110 sessions

Hide Show timer Statistics

[GMAT math practice question]

Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round table. Alice sits opposite Farrell. How many seating arrangements are possible?

A. 2
B. 6
C. 24
D. 120
E. 720
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
MathRevolution: The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] On-demand trial course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting at $79 for on-demand and $60 for tutoring per hour
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
avatar
V
chetan2u
Math Expert
Joined: 02 Aug 2009
Posts: 10472
Reviews Badge Top Member of the Month
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  30 Apr 2019, 03:47
Expert Reply
MathRevolution wrote:
[GMAT math practice question]

Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round table. Alice sits opposite Farrell. How many seating arrangements are possible?

A. 2
B. 6
C. 24
D. 120
E. 720



So, we have 6 person. First we fix the seat of Alice, and, so the seat of Farrell too gets fixed automatically.
Now we have 4 seats for 4 different people, and these can be occupied in 4! or 24 ways

C
_________________
1. Absolute modulus:. 2. Fractions: 3. Percentage increase: 4. Combinations:
Signature Read More
User avatar
S
sach24x7
Manager
Manager
Joined: 15 Aug 2014
Status:Don't Give Up!
Posts: 80
Location: India
Concentration: Operations, General Management
Schools: INSEAD Jan '20, HEC Jan20 Intake, IE, IIMA PGPX"20, IIMB EPGP"20
GMAT Date: 04-25-2015
WE:Engineering (Manufacturing)
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  30 Apr 2019, 07:56
In circular arrangements if there is no constraints then arrangements are (n-1)! But if we fix position of ALICE AND FARELL then remaining 4 positions will be taken by 4 people in 4! ways.

Posted from my mobile device
User avatar
V
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 11852
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  30 Apr 2019, 23:48
Expert Reply
=>

Attachment:
429.png
429.png [ 16.12 KiB | Viewed 2043 times ]


First, place Alice and Farrell in opposite chairs as shown above (there is only one way to do this as the table is round).
Next, arrange the four remaining people in \(4! = 24\) ways.

Therefore, C is the answer.
Answer: C
_________________
MathRevolution: The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] On-demand trial course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting at $79 for on-demand and $60 for tutoring per hour
Signature Read More
avatar
G
m1033512
Senior Manager
Senior Manager
Joined: 25 Feb 2019
Posts: 300
Reviews Badge
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  02 May 2019, 06:27
MathRevolution wrote:
=>

Attachment:
429.png


First, place Alice and Farrell in opposite chairs as shown above (there is only one way to do this as the table is round).
Next, arrange the four remaining people in \(4! = 24\) ways.

Therefore, C is the answer.
Answer: C



but Alice and Farrel can change their positions in 2! ways ( they exchange their seats and it will be a different arrangement)

then answer should be 48

Could you help on this doubt ….
avatar
P
ArupRS
Senior Manager
Senior Manager
Joined: 23 Jan 2018
Posts: 266
Location: India
Schools: Anderson '24, Goizueta '24, Foster '24, Fuqua '24, Kenan-Flagler '24, LBS '24, McCombs '24, Said '23, Rotman '24
GMAT 1: 640 Q48 V29
WE:Information Technology (Computer Software)
Forum Quiz Mode
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  02 May 2019, 07:03
m1033512 wrote:
MathRevolution wrote:
=>

Attachment:
429.png


First, place Alice and Farrell in opposite chairs as shown above (there is only one way to do this as the table is round).
Next, arrange the four remaining people in \(4! = 24\) ways.

Therefore, C is the answer.
Answer: C



but Alice and Farrel can change their positions in 2! ways ( they exchange their seats and it will be a different arrangement)

then answer should be 48

Could you help on this doubt ….


I also have the same doubt. Also, aren't we also ignoring the fact that A & F can have 3 position all together.

Regards,
Arup
User avatar
V
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 11852
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  03 May 2019, 08:05
Expert Reply
ArupRS wrote:
m1033512 wrote:
MathRevolution wrote:
=>

Attachment:
429.png


First, place Alice and Farrell in opposite chairs as shown above (there is only one way to do this as the table is round).
Next, arrange the four remaining people in \(4! = 24\) ways.

Therefore, C is the answer.
Answer: C



but Alice and Farrel can change their positions in 2! ways ( they exchange their seats and it will be a different arrangement)

then answer should be 48

Could you help on this doubt ….


I also have the same doubt. Also, aren't we also ignoring the fact that A & F can have 3 position all together.

Regards,
Arup


Before Alice and Farrell take seates, we don't know which seat is first and which seat is last.
After Alice and Farrell take seates, we can figure out the rest of seats and 4! = 24 is the number of arrangemnets.
_________________
MathRevolution: The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] On-demand trial course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting at $79 for on-demand and $60 for tutoring per hour
Signature Read More
avatar
B
Abhishek292kumar
Intern
Intern
Joined: 01 Apr 2018
Status:Preparing for GMAT
Posts: 9
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  15 May 2019, 18:57
1
Kudos
MathRevolution wrote:

Before Alice and Farrell take seates, we don't know which seat is first and which seat is last.
After Alice and Farrell take seates, we can figure out the rest of seats and 4! = 24 is the number of arrangemnets.



The number of ways sitting in round table is \((n-1)!\) where n is number of people.
Here we have 6 people in which A and F position is fixed so can be treated a one unit.
Therefore we just have to find the ways for 5 people to sit.
So \((5-1)! = 4! = 24\)

Is this the right approach?
avatar
S
kinvestor
Intern
Intern
Joined: 22 Jun 2018
Posts: 40
Location: India
Schools: IIM-A '15 (II), IMD Jan'18 (WD), IIM Udaipur '21 (WL)
GMAT 1: 670 Q49 V34
GRE 1: Q170 V160
GPA: 3.82
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink] New post  15 May 2019, 19:26
Yes it is the right approach, as the two positions are fixed, the four persons can sit in 4! ways.
GMAT Club Bot
gmatclubot
Re: Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round [#permalink]
15 May 2019, 19:26
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10472 posts
Bunuel
Math Expert
86350 posts
generis
Senior SC Moderator
5457 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2915 posts

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions