Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 16 Jul 2019, 13:33

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.

Close

Request Expert Reply

Confirm Cancel

An enterprise has four departments. There are three managers in each

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
G
Joined: 07 Jun 2017
Posts: 166
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
An enterprise has four departments. There are three managers in each  [#permalink]

Show Tags

New post 19 Oct 2017, 06:05
2
6
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

46% (02:16) correct 54% (01:56) wrong based on 79 sessions

HideShow timer Statistics


An enterprise has four departments. There are three managers in each of the four departments. These managers are to be
seated along a circular table in such a way that all managers from the same department sit together. Two arrangements are
considered different only when the neighbours of any manager change. How many different arrangements of seating are
possible?

A. \(144\)

B. \(488\)

C. \(6^5\)

D. \(\frac{11!}{(3!)^4}\)

E. \(11!\)

_________________
Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7764
Re: An enterprise has four departments. There are three managers in each  [#permalink]

Show Tags

New post 19 Oct 2017, 08:03
1
2
nkmungila wrote:
An enterprise has four departments. There are three managers in each of the four departments. These managers are to be
seated along a circular table in such a way that all managers from the same department sit together. Two arrangements are
considered different only when the neighbours of any manager change. How many different arrangements of seating are
possible?

A. \(144\)

B. \(488\)

C. \(6^5\)

D. \(\frac{11!}{(3!)^4}\)

E. \(11!\)


Hi..
Four departments and each has three managers, so managers in each can be seated in 3! Ways, so for all 4 depts, 3!*3!*3!*3!...
These four departments are arranged in circular table and can be arranged in (4-1)!=3!...

Total ways = 3!*3!*3!*3!*3!=6^5

C
_________________
Intern
Intern
avatar
B
Joined: 22 Oct 2018
Posts: 4
GMAT 1: 770 Q50 V45
Premium Member
An enterprise has four departments. There are three managers in each  [#permalink]

Show Tags

New post 22 Dec 2018, 11:01
chetan2u wrote:
nkmungila wrote:
An enterprise has four departments. There are three managers in each of the four departments. These managers are to be
seated along a circular table in such a way that all managers from the same department sit together. Two arrangements are
considered different only when the neighbours of any manager change. How many different arrangements of seating are
possible?

A. \(144\)

B. \(488\)

C. \(6^5\)

D. \(\frac{11!}{(3!)^4}\)

E. \(11!\)


Shouldn't the answer be (6^5)/2 as there is no difference between clockwise and anticlockwise seating?
Consider the similar case of a necklace.
GMAT Club Bot
An enterprise has four departments. There are three managers in each   [#permalink] 22 Dec 2018, 11:01
Display posts from previous: Sort by

An enterprise has four departments. There are three managers in each

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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