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# Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6

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Manager
Joined: 04 Mar 2012
Posts: 50

Kudos [?]: 298 [3], given: 10

Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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15 Apr 2012, 21:16
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Difficulty:

25% (medium)

Question Stats:

60% (00:29) correct 40% (00:52) wrong based on 403 sessions

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Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?

A. 360
B. 120
C. 80
D. 240
E. 60
[Reveal] Spoiler: OA

Kudos [?]: 298 [3], given: 10

VP
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15 Apr 2012, 22:57
4
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Total number of arrangements = 6! = 720

In exactly half, Susan will be to the left of Tim, which gives us 360 arrangements

Option (A)
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Kudos [?]: 650 [4], given: 20

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132552 [2], given: 12326

Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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16 Apr 2012, 00:58
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gmihir wrote:
Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?

A. 360
B. 120
C. 80
D. 240
E. 60

Total # of arrangement of 6 people is 6!.

In half of the cases Susan will be seated left to Tim and in half of the cases Susan will be seated right to Tim (why should one seating arrangement have more ways to occur than another?).

So, # of arrangements to satisfy the given condition is 6!/2=360.

Similar questions to practice:
in-how-many-different-ways-can-the-letters-a-a-b-91460.html
six-mobsters-have-arrived-at-the-theater-for-the-premiere-of-the-126151.html

Hope it helps.
_________________

Kudos [?]: 132552 [2], given: 12326

Intern
Joined: 07 Feb 2011
Posts: 14

Kudos [?]: 8 [1], given: 11

GMAT 1: 580 Q47 V24
Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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12 Apr 2014, 19:27
1
KUDOS
ind23 wrote:
satsymbol wrote:
Why Can not I use Glue method here?
SK together, with 4 others - 5! = 120 ways.

Hi,

When you are using the above method what you are assuming is that they are sitting next to each other always, which is not what the question states.
The question only says that S is always sitting left of T, maybe next, maybe away 1 chair ...there is no constraint on that.

-----------------------------------
Kudos, if the post helped

got it.. where i was failing... thanks..

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Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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27 Mar 2014, 12:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Kudos [?]: 281 [0], given: 0

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Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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11 Apr 2014, 19:47
Why Can not I use Glue method here?
SK together, with 4 others - 5! = 120 ways.

Kudos [?]: 8 [0], given: 11

Intern
Joined: 10 Apr 2014
Posts: 33

Kudos [?]: 22 [0], given: 3

Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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12 Apr 2014, 01:19
2
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BOOKMARKED
satsymbol wrote:
Why Can not I use Glue method here?
SK together, with 4 others - 5! = 120 ways.

Hi,

When you are using the above method what you are assuming is that they are sitting next to each other always, which is not what the question states.
The question only says that S is always sitting left of T, maybe next, maybe away 1 chair ...there is no constraint on that.

-----------------------------------
Kudos, if the post helped

Kudos [?]: 22 [0], given: 3

Intern
Joined: 10 Apr 2014
Posts: 33

Kudos [?]: 22 [0], given: 3

Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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12 Apr 2014, 21:33
No problem:)
Do press +1 Kudos if it helped.

Posted from my mobile device

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Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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26 Apr 2015, 20:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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24 Jun 2015, 03:37
Bunuel wrote:
gmihir wrote:
Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?

A. 360
B. 120
C. 80
D. 240
E. 60

Total # of arrangement of 6 people is 6!.

In half of the cases Susan will be seated left to Tim and in half of the cases Susan will be seated right to Tim (why should one seating arrangement have more ways to occur than another?).

So, # of arrangements to satisfy the given condition is 6!/2=360.

Similar questions to practice:
in-how-many-different-ways-can-the-letters-a-a-b-91460.html
six-mobsters-have-arrived-at-the-theater-for-the-premiere-of-the-126151.html

Hope it helps.

Hi Bunuel

Could you confirm my thoughts?

If the question asked that Susan should always sit DIRECTLY left to TIM, then the total # of arrangements would be:

5! = 120 ?

Because you can "glue" Kim and Susan "together". But you still have 6 chairs, how would you account for that?

Further: anyone also understod this part "Susan is seated always left to Tim" in the way that Susan needs to be seated directly left to Tim?

Thanks
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Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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24 Jun 2015, 21:53
gmihir wrote:
Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?

A. 360
B. 120
C. 80
D. 240
E. 60

This post discusses the symmetry concept and this question: http://www.veritasprep.com/blog/2011/10 ... s-part-ii/
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Kudos [?]: 17771 [0], given: 235

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Joined: 09 Sep 2013
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Kudos [?]: 281 [0], given: 0

Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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24 Oct 2016, 10:43
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 281 [0], given: 0

Intern
Joined: 31 Dec 2012
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Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 [#permalink]

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25 Jun 2017, 10:58
reto wrote:
Bunuel wrote:
gmihir wrote:
Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?

A. 360
B. 120
C. 80
D. 240
E. 60

Total # of arrangement of 6 people is 6!.

In half of the cases Susan will be seated left to Tim and in half of the cases Susan will be seated right to Tim (why should one seating arrangement have more ways to occur than another?).

So, # of arrangements to satisfy the given condition is 6!/2=360.

Similar questions to practice:
http://gmatclub.com/forum/in-how-many-d ... 91460.html
http://gmatclub.com/forum/six-mobsters- ... 26151.html

Hope it helps.

Hi Bunuel

Could you confirm my thoughts?

If the question asked that Susan should always sit DIRECTLY left to TIM, then the total # of arrangements would be:

5! = 120 ?

Because you can "glue" Kim and Susan "together". But you still have 6 chairs, how would you account for that?

Further: anyone also understod this part "Susan is seated always left to Tim" in the way that Susan needs to be seated directly left to Tim?

Thanks

Hi reto,

The highlighted portion says that susan is sitting left to Tim, it doesn't necessarily mean next to him BUT always left to him. i.e. 1 way is S,T,_,_,_,_,_, next S,_,T,_,_,_,_ and so on.

Hope this clears.

Kudos [?]: 2 [0], given: 135

Re: Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6   [#permalink] 25 Jun 2017, 10:58
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