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

It is currently 10 Jul 2014, 19:45

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Mike and four friends go to a Knicks game. How many ways can

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 11 May 2004
Posts: 460
Location: New York
Followers: 1

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

GMAT Tests User
Mike and four friends go to a Knicks game. How many ways can [#permalink] New post 10 Dec 2005, 19:41
Mike and four friends go to a Knicks game. How many ways can they sit together so that Mike always sits between two friends?

6
24
48
72
120

Please show all workings. :)
VP
VP
avatar
Joined: 22 Aug 2005
Posts: 1128
Location: CA
Followers: 1

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

GMAT Tests User
 [#permalink] New post 10 Dec 2005, 21:12
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends

total arrangements: 3 * 24 = 72
_________________

Whether you think you can or think you can't. You're right! - Henry Ford (1863 - 1947)

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
Followers: 16

Kudos [?]: 130 [0], given: 0

GMAT Tests User
 [#permalink] New post 10 Dec 2005, 21:44
Assuming the seat are: 1,2,3,4,5

Mike cannot take seat 1 and 5, since he will not be between 2 friends.

He can occupy 2,3 or 4. For each seat, say seat 2, there are 4! ways to arrange his friends.

Soln: 3 * 4!= 72 arrangements. (Note: 4! is permutation)

And i hope larry brown starts finding a winning starting 5 !! :wink:
SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1736
Followers: 3

Kudos [?]: 29 [0], given: 0

GMAT Tests User
 [#permalink] New post 10 Dec 2005, 22:27
duttsit wrote:
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends
total arrangements: 3 * 24 = 72

what this "between two friends" means? i thought mike's position as under.

A.B.mike.C.D.

Mike always maintaines this position.
Current Student
User avatar
Joined: 29 Jan 2005
Posts: 5253
Followers: 23

Kudos [?]: 120 [0], given: 0

GMAT Tests User Reviews Badge
 [#permalink] New post 10 Dec 2005, 23:06
Mike can`t sit on any of the outer seats.

_ _ _ _ _

Mike is X so;

_X_ _ _

or

_ _ X _ _

or

_ _ _ X_

Four friends can sit 4! ways= 24
Mike can choose any one of 3 ways, so 3*24=72

(D)
VP
VP
avatar
Joined: 22 Aug 2005
Posts: 1128
Location: CA
Followers: 1

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

GMAT Tests User
 [#permalink] New post 10 Dec 2005, 23:26
HIMALAYA wrote:
duttsit wrote:
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends
total arrangements: 3 * 24 = 72

what this "between two friends" means? i thought mike's position as under.

A.B.mike.C.D.

Mike always maintaines this position.

between two friends, here indicates that he is always embedded by two frields(cannot be sitting at the corners)

as matt shown, there can be 3 such positions.
_________________

Whether you think you can or think you can't. You're right! - Henry Ford (1863 - 1947)

Director
Director
User avatar
Joined: 09 Oct 2005
Posts: 728
Location: Madrid
Followers: 3

Kudos [?]: 10 [0], given: 0

GMAT Tests User
Re: Arrangements [#permalink] New post 11 Dec 2005, 04:07
desiguy wrote:
Mike and four friends go to a Knicks game. How many ways can they sit together so that Mike always sits between two friends?

6
24
48
72
120

Please show all workings. :)
All possible ways 5!=120
The cases when Mike is not between two of his friends
Mike __ __ __ __ 4!=24
__ __ __ __ Mike 4!=24
Hence The cases when Mike is sitting between two friends is 120-24-24=72
My vote for D
SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1736
Followers: 3

Kudos [?]: 29 [0], given: 0

GMAT Tests User
 [#permalink] New post 11 Dec 2005, 08:06
duttsit wrote:
HIMALAYA wrote:
duttsit wrote:
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends
total arrangements: 3 * 24 = 72

what this "between two friends" means? i thought mike's position as under.

A.B.mike.C.D.

Mike always maintaines this position.

between two friends, here indicates that he is always embedded by two frields(cannot be sitting at the corners)

as matt shown, there can be 3 such positions.

dutt,
your music is beautiful but i could not differentiate it whether it from gitar or ektara? :wink:
Senior Manager
Senior Manager
avatar
Joined: 11 May 2004
Posts: 460
Location: New York
Followers: 1

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

GMAT Tests User
 [#permalink] New post 11 Dec 2005, 08:40
Good discussion. D is the answer
  [#permalink] 11 Dec 2005, 08:40
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic In how many ways can 5 different rings be worn in four docabuzar 9 02 Feb 2012, 15:16
Experts publish their posts in the topic There are 6 friends-- A,B,C,D,E,F. In how many ways can they abhi47 3 31 Jan 2012, 16:37
Earl and 4 frends goto a game. How many ways can they sit rxs0005 7 18 Jul 2005, 14:58
In how many ways can 5 rings be worn on the four fingers of smcgrath12 9 10 Jun 2005, 07:19
How many ways can four married couples sit on a park bench gayathri 4 08 Dec 2004, 15:58
Display posts from previous: Sort by

Mike and four friends go to a Knicks game. How many ways can

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.