Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Nov 2015, 08:47
GMAT Club Tests


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.

for You

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

Your Progress

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


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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar


  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
User avatar
Joined: 05 Jan 2009
Posts: 82
Followers: 1

Kudos [?]: 37 [0], given: 2

m01-q24 [#permalink] New post 16 May 2009, 06:39
I could not understand the OE. Can anybody please explain in detail

If 5 noble knights are to be seated at a round table, then how many different ways can they be seated?

(C) 2008 GMAT Club - m01#24

Kaplan Promo CodeKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
Expert Post
User avatar
Affiliations: AS - Gold, HH-Diamond
Joined: 04 Dec 2002
Posts: 13043
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
Followers: 3005

Kudos [?]: 15962 [0], given: 4001

GMAT ToolKit User Premium Member CAT Tests
Re: m01-q24 [#permalink] New post 24 May 2009, 23:05
Expert's post
To find the total number of Permutations for 5 knights (order matters) is 5!
However, since we have a round table and therefore a circle, then we are losing one spot and have only 4 unique combinations, so the answer is 4!

Here is a reference for C&P: ... binations/

Permutations and Combinations
Some theory and concepts

Founder of GMAT Club

Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator
Need GMAT Book Recommendations? Best GMAT Books

Co-author of the GMAT Club tests

Have a blog? Feature it on GMAT Club!

GMAT Club Premium Membership - big benefits and savings

User avatar
Joined: 01 Aug 2008
Posts: 118
Followers: 1

Kudos [?]: 64 [0], given: 2

Re: m01-q24 [#permalink] New post 25 May 2009, 10:34
for circular arrangement always consider a reference point i.e. in the above question consider one knight as the reference point and arrange the rest of the knights w.r.t to the reference knight.

so, out of 5 knight if i take one knight as reference then i have 4 knights which i can arrange in 4! ways w.r.t the reference knight and therefore 4! is the number of possible ways.

Do not answer without sharing the reasoning behind ur choice
Working on my weakness : GMAT Verbal
Why, What, How, When, Where, Who

Joined: 30 May 2009
Posts: 15
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: m01-q24 [#permalink] New post 30 May 2009, 20:50
I read it years ago and still remember it..

for circular arrangement of n items = (n-1)!

the answer of this question is 4! = 24
User avatar
Joined: 12 Mar 2009
Posts: 192
Followers: 3

Kudos [?]: 200 [0], given: 60

Re: m01-q24 [#permalink] New post 07 Sep 2009, 04:39
Also Google 'circular permutations' for very good articles regarding this topic.
Senior Manager
Senior Manager
Joined: 18 Aug 2009
Posts: 328
Followers: 8

Kudos [?]: 235 [0], given: 13

Re: m01-q24 [#permalink] New post 07 Sep 2009, 07:05
cool... Thanks a lot.
Joined: 29 Jan 2011
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 3

Re: m01-q24 [#permalink] New post 03 Apr 2011, 18:54
Combinations and permutations are one of my weaknesses. I got this question wrong but I think I did the math correctly and I just interpreted the problem differently. At a circular table, there are (N-1)! relative positions (i.e. one knight relative to another) but there are N! combinations if one thinks of absolute positions at a circular table (i.e. if one knight is sitting in the northernmost seat, one in the easternmost seat, etc) correct? I considered absolute positions to be different even if relative positions were the same so I answered 5! or 120.

Two questions:
(1) Is my thinking regarding absolute and relative positions correct?
(2) Whenever we see a circular table question on the GMAT should we assume they're only asking about relative position?
Joined: 14 Mar 2011
Posts: 92
Followers: 1

Kudos [?]: 3 [0], given: 3

Re: m01-q24 [#permalink] New post 21 Jun 2011, 16:20
Hi all,

The key to understand circular permutation (n objects/persons) is that we have to consider 1 object/person as fixed, then the problem become a normal permutation with n-1 objects/persons.
Joined: 16 Jun 2011
Posts: 33
Followers: 0

Kudos [?]: 1 [0], given: 6

Re: m01-q24 [#permalink] New post 21 Jun 2011, 16:35
Now let's up an (n-1)! circular questions shows up on our gmat! It's good for padding time!
Joined: 04 Aug 2011
Posts: 45
Location: United States
Concentration: Technology, Leadership
GMAT 1: 570 Q45 V25
GPA: 4
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 15 [0], given: 20

Re: m01-q24 [#permalink] New post 14 Jan 2012, 21:49
Simple question - In cicular permutataion n arrangement to be made - N-1 ! So answer E - 24
Re: m01-q24   [#permalink] 14 Jan 2012, 21:49
    Similar topics Author Replies Last post
2 Experts publish their posts in the topic M01, Q24 sunman 2 29 Dec 2011, 14:55
1 m01 q24 sfeiner 6 24 Dec 2009, 13:24
M01Q24 DenisSh 1 06 Sep 2009, 23:27
M01 Q24 ThrillRide 2 07 Jul 2009, 06:26
Display posts from previous: Sort by


  Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: WoundedTiger, Bunuel

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.