There are 5 chairs. Tim and Jack want to sit such that Tim i : Ask GMAT Experts
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 09 Dec 2016, 18:33

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# There are 5 chairs. Tim and Jack want to sit such that Tim i

Author Message
Manager
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 103 [0], given: 8

There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

31 Jan 2012, 16:45
There are 5 chairs. Tim and Jack want to sit such that Tim is alwalys left to Jack. How many arrangements are possible ?

Is the answer to this question - 10 or 60 ? Could someone please clarify ?

_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Magoosh GMAT Instructor
Joined: 28 Nov 2011
Posts: 307
Followers: 512

Kudos [?]: 955 [0], given: 2

Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

31 Jan 2012, 18:20
There are 5P2 ways they can sit = 20.

In half those instances, Jack will be on the left of Tim (the other half he will be on his right).

Therefore total of 10 different ways.
_________________

Christopher Lele
Magoosh Test Prep

Manager
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 103 [0], given: 8

Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

01 Feb 2012, 00:07
Chris why can't the answer be 60 ( 5 factorial/2) ????
_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Manager
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 103 [0], given: 8

Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

01 Feb 2012, 00:08
_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Magoosh GMAT Instructor
Joined: 28 Nov 2011
Posts: 307
Followers: 512

Kudos [?]: 955 [0], given: 2

Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

01 Feb 2012, 13:55
Hi gpkk,

120 or 5! would represent the total ways you could see 5 people in 5 chairs. We are only sitting 2 in 5 - hence we use the permutations formula, 5P2 = 20, the total number of different ways the two can be arranged in five chairs. Half of those 20 cases Tim is to the left of Jack. Therefore, the answer is 10.

Please let me know if that was any clearer
_________________

Christopher Lele
Magoosh Test Prep

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7076
Location: Pune, India
Followers: 2089

Kudos [?]: 13304 [0], given: 222

Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

01 Feb 2012, 22:16
gpkk wrote:
There are 5 chairs. Tim and Jack want to sit such that Tim is alwalys left to Jack. How many arrangements are possible ?

Is the answer to this question - 10 or 60 ? Could someone please clarify ?

The question implies that there are 5 chairs and only 2 people, Tim and Jack. If that is the case, answer will be what Chris explained above. You select 2 chairs out of 5 and make Tim and Jack occupy them.

If instead, the question were that there are 5 chairs and 5 people and that Tim and Jack are 2 of those 5 people, then you are right. The answer would be 5!/2! because 5 people can occupy 5 chairs in 5! ways and Tim will be to the left of Jack in half of them.

For more on such questions, check:
http://www.veritasprep.com/blog/2011/10 ... s-part-ii/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7076 Location: Pune, India Followers: 2089 Kudos [?]: 13304 [0], given: 222 Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink] ### Show Tags 01 Feb 2012, 22:19 ChrisLele wrote: Hi gpkk, 120 or 5! would represent the total ways you could see 5 people in 5 chairs. We are only sitting 2 in 5 - hence we use the permutations formula, 5P2 = 20, the total number of different ways the two can be arranged in five chairs. Half of those 20 cases Tim is to the left of Jack. Therefore, the answer is 10. Please let me know if that was any clearer Oops! Didn't see this reply before so put down a quick explanation. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Manager
Status: Writing Essays
Joined: 25 Nov 2011
Posts: 143
Location: Brazil
Concentration: Technology, Finance
GMAT 1: 720 Q44 V47
WE: Information Technology (Commercial Banking)
Followers: 2

Kudos [?]: 46 [0], given: 27

Re: There are 5 chairs. Tim and Jack want to sit such that Tim i [#permalink]

### Show Tags

06 Mar 2012, 08:59
Thank you guys for these great explanations!
Re: There are 5 chairs. Tim and Jack want to sit such that Tim i   [#permalink] 06 Mar 2012, 08:59
Similar topics Replies Last post
Similar
Topics:
Want to retake GMAT: What should I focus on 4 11 May 2016, 20:59
2 I am complete novice at GMAT. I want to take GMAT. Can you help me? 2 03 Aug 2015, 04:54
1 6 children ,9 chairs ,how many arrangements? 2 18 Sep 2013, 04:57
I want to earn my admissions and need help 1 07 Feb 2013, 16:43
2 GMAT test in 5 weeks.Scoring a 640/660. Want a 700+. Advice? 4 07 Nov 2012, 21:53
Display posts from previous: Sort by