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

It is currently 18 Jul 2019, 14:43

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

In a row of 30 seats, six team of 4 persons each will be seated. The

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

Hide Tags

Find Similar Topics 
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4487
In a row of 30 seats, six team of 4 persons each will be seated. The  [#permalink]

Show Tags

New post 15 Sep 2016, 16:11
2
10
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

34% (02:27) correct 66% (02:34) wrong based on 81 sessions

HideShow timer Statistics


This question was inspired by another current question that appears to be less than fully clear:
there-is-a-row-of-30-seats-and-there-are-6-groups-of-4-persons-each-225526.html

In a row of 30 seats, six team of 4 persons each will be seated. The members of any one team always sit together in four consecutive seats in the same order. Different teams may be adjacent or separated by empty seats. In how many ways can the six teams be seated in the 30 seats?

(A) (6!)(6!)

(B) \(\frac{12!}{6!}\)

(C) 12C6

(D) 30C12

(E) 30C6*6

_________________
Mike McGarry
Magoosh Test Prep


Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7764
Re: In a row of 30 seats, six team of 4 persons each will be seated. The  [#permalink]

Show Tags

New post 15 Sep 2016, 18:27
1
1
mikemcgarry wrote:
This question was inspired by another current question that appears to be less than fully clear:
there-is-a-row-of-30-seats-and-there-are-6-groups-of-4-persons-each-225526.html

In a row of 30 seats, six team of 4 persons each will be seated. The members of any one team always sit together in four consecutive seats in the same order. Different teams may be adjacent or separated by empty seats. In how many ways can the six teams be seated in the 30 seats?

(A) (6!)(6!)

(B) \(\frac{12!}{6!}\)

(C) 12C6

(D) 30C12

(E) 30C6*6



Hi,
There are total 30 seats, but 4 members of 6 different groups always sit together and in same sequence...
So the group can be taken as one seat, making the total as 12 seats..

12 seats include 6 empty chairs as total 6*4 chairs are filled in 30 seats and these 6 seats will be identical while the other 6 would be different as each consists of different group..
Ans 12!/6!
B
_________________
Manager
Manager
User avatar
S
Joined: 23 Jan 2016
Posts: 180
Location: India
GPA: 3.2
GMAT ToolKit User
Re: In a row of 30 seats, six team of 4 persons each will be seated. The  [#permalink]

Show Tags

New post 17 Sep 2016, 08:58
Hi Chetan,

Im unable to undertand your explaination. Because the teams will have the same arrangement, we will have essentially 24/4 i.e 6 places+the remaining empty seats i.e 6; so the total becomes 12!. 12! is the answer according to me, please explain what is wrong.

thanks,
Jon
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7764
Re: In a row of 30 seats, six team of 4 persons each will be seated. The  [#permalink]

Show Tags

New post 17 Sep 2016, 09:39
1
TheLordCommander wrote:
Hi Chetan,

Im unable to undertand your explaination. Because the teams will have the same arrangement, we will have essentially 24/4 i.e 6 places+the remaining empty seats i.e 6; so the total becomes 12!. 12! is the answer according to me, please explain what is wrong.

thanks,
Jon


Hi Jon,

You are correct till 12! ...
But the 6 empty seats are same and this 6 seats can be arranged in 6! Ways ...
That is why we divide 12! By 6!
_________________
Manager
Manager
avatar
S
Joined: 05 Oct 2017
Posts: 65
GMAT 1: 560 Q44 V23
Re: In a row of 30 seats, six team of 4 persons each will be seated. The  [#permalink]

Show Tags

New post 22 Dec 2018, 01:06
1
say,team 1 =T1 and team2 =T2
like this we have T3,T4,T5,T6
EACH TEAM CONSISTS OF 4 MEMBERS, SO 6 SEATS ARE REMAINING EMPTY.
and each empty seat = E

ultimately question becomes in how many different way you can arrange T1,T2,T3,T4,T5,T6,E,E,E,E,E,E

= \(12!/6!\)

note- you do not need to multiple by 4! to arrange members of each team as question has clearly stated.
Quote:
The members of any one team always sit together in four consecutive seats in the same order.

_________________

It’s not that I’m so smart, it’s just that I stay with problems longer. -- Albert Einstein
GMAT Club Bot
Re: In a row of 30 seats, six team of 4 persons each will be seated. The   [#permalink] 22 Dec 2018, 01:06
Display posts from previous: Sort by

In a row of 30 seats, six team of 4 persons each will be seated. The

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





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