NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 13:36 It is currently 25 Apr 2024, 13:36
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

A man, his wife, and his four daughters are being seated around a rect

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619010 [4]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
A man, his wife, and his four daughters are being seated around a rect [#permalink] New post   28 Dec 2016, 01:51
1
Kudos
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

71% (01:21) correct 29% (01:46) wrong based on 176 sessions
Hide Show timer Statistics
A man, his wife, and his four daughters are being seated around a rectangular table. The man and his wife must sit across from each other alone at each end of the table. The daughters are to be seated two on each side. How many different seating arrangements are there at this table?

A. 12
B. 24
C. 48
D. 120
E. 720
ShowHide Answer
Official Answer
C
avatar
B
vivekkumar987
Manager
Manager
Joined: 07 Mar 2015
Posts: 99
Own Kudos [?]: 56 [1]
Given Kudos: 48
Location: India
Concentration: General Management, Operations
Schools: Alberta"19 Haskayne"19 Mays '19 (S) Jones '19 (WL) Ivey '18 Ryerson"19 (A)
GMAT 1: 590 Q46 V25
GPA: 3.84
WE:Engineering (Energy and Utilities)
Send PM
Re: A man, his wife, and his four daughters are being seated around a rect [#permalink] New post   28 Dec 2016, 01:56
1
Bookmarks
Bunuel wrote:
A man, his wife, and his four daughters are being seated around a rectangular table. The man and his wife must sit across from each other alone at each end of the table. The daughters are to be seated two on each side. How many different seating arrangements are there at this table?

A. 12
B. 24
C. 48
D. 120
E. 720


IMO: C

we have select 2 out four first, which can be done by 4p2

and they can rearrange themselves by 2

and the parent can switch their position also, so X 2

total 48
User avatar
G
Alok322
Manager
Manager
Joined: 26 Jan 2015
Posts: 95
Own Kudos [?]: 258 [1]
Given Kudos: 203
Location: Oman
Schools: LBS '22 (D) IESE '22 (D) Ivey '21 INSEAD Jan'21 Intake Oxford "21 (D) Cornell Tech "21 (WA) HEC Jan20 Intake (S)
GMAT 1: 710 Q49 V37
Send PM
A man, his wife, and his four daughters are being seated around a rect [#permalink] New post   28 Dec 2016, 04:07
1
Kudos
Bunuel wrote:
A man, his wife, and his four daughters are being seated around a rectangular table. The man and his wife must sit across from each other alone at each end of the table. The daughters are to be seated two on each side. How many different seating arrangements are there at this table?

A. 12
B. 24
C. 48
D. 120
E. 720


There are 6 seats available. Let's say X1,X2,X3,X4,X5 and X6.
But as per the constraint the man and his wife can be accommodated in only X1 and X4. So they can be accommodated in 2 ways(M-X1, W-X4 or M-X4, W- X1)
Then 4 girls are available with 4 seats. n items can be arranged in n! ways. So the 4 girls can be arranged in 4! ways = 24ways.
So, total number of arrangements possible is 24*2=48 ways.



Kudos is the best way to say Thanks. Please thank me if you like my post.
Attachments

Capture.PNG
Capture.PNG [ 5.4 KiB | Viewed 2670 times ]

User avatar
P
DharLog
Senior Manager
Senior Manager
Joined: 26 Jun 2017
Posts: 319
Own Kudos [?]: 326 [1]
Given Kudos: 334
Location: Russian Federation
Concentration: General Management, Strategy
WE:Information Technology (Other)
Send PM
Re: A man, his wife, and his four daughters are being seated around a rect [#permalink] New post   08 Sep 2017, 09:56
1
Bookmarks
Bunuel wrote:
A man, his wife, and his four daughters are being seated around a rectangular table. The man and his wife must sit across from each other alone at each end of the table. The daughters are to be seated two on each side. How many different seating arrangements are there at this table?

A. 12
B. 24
C. 48
D. 120
E. 720



We have to seat for daugters - it is just as to seat 4 people in a line - 4! ways.
Now, seats of man and his wife are fixed at edgesof the table. Bit still. One of the, can sit at one end or at another. 2! ways.

The answer: 4!*2! = 48.
GMAT Club Bot
gmatclubot
Re: A man, his wife, and his four daughters are being seated around a rect [#permalink]
08 Sep 2017, 09:56
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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