4 baseball players each stand at different corners of a base : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 14:25

### 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

# 4 baseball players each stand at different corners of a base

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

### Hide Tags

Current Student
Status: Up again.
Joined: 31 Oct 2010
Posts: 541
Concentration: Strategy, Operations
GMAT 1: 710 Q48 V40
GMAT 2: 740 Q49 V42
Followers: 21

Kudos [?]: 414 [0], given: 75

4 baseball players each stand at different corners of a base [#permalink]

### Show Tags

08 Aug 2013, 11:17
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

55% (01:58) correct 45% (01:08) wrong based on 97 sessions

### HideShow timer Statistics

4 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?

A. 4
B. 6
C. 16
D. 24
E. 256
[Reveal] Spoiler: OA

_________________

My GMAT debrief: http://gmatclub.com/forum/from-620-to-710-my-gmat-journey-114437.html

Director
Joined: 14 Dec 2012
Posts: 842
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 59

Kudos [?]: 1289 [1] , given: 197

Re: 4 baseball players each stand at different corners of a base [#permalink]

### Show Tags

08 Aug 2013, 11:19
1
KUDOS
1
This post was
BOOKMARKED
gmatpapa wrote:
4 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?

A. 4
B. 6
C. 16
D. 24
E. 256

it is like a circular arrangement.

total ways for n people to arrange in a circle is = factorial (n-1)
in this case n= 4
hence ans = 3 factorial = 6

hence B
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

GMAT RCs VOCABULARY LIST: http://gmatclub.com/forum/vocabulary-list-for-gmat-reading-comprehension-155228.html
learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

Senior Manager
Joined: 10 Jul 2013
Posts: 335
Followers: 3

Kudos [?]: 312 [0], given: 102

Re: 4 baseball players each stand at different corners of a base [#permalink]

### Show Tags

08 Aug 2013, 11:45
gmatpapa wrote:
4 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?

A. 4
B. 6
C. 16
D. 24
E. 256

....................
for circular permutation, just minus 1 and permute.
so 3! = 6 ways
_________________

Asif vai.....

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13547
Followers: 578

Kudos [?]: 163 [0], given: 0

Re: 4 baseball players each stand at different corners of a base [#permalink]

### Show Tags

24 Dec 2014, 11:21
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.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 8344
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 382

Kudos [?]: 2474 [0], given: 164

Re: 4 baseball players each stand at different corners of a base [#permalink]

### Show Tags

24 Dec 2014, 14:57
Hi All,

These types of permutation questions can sometimes be confusing, so you might find that a "visual component" will help you to stay organized and get to the correct answer.

In this question, we have to place 4 players at 4 corners of a diamond (although you could just as easily have a question that places them at equidistant spots on a circle).

If we were placing those 4 players in a straight line, then the number of possibilities would be a simple calculation:

(4)(3)(2)(1) = 24

HOWEVER, since we're told that we can count an option ONLY if the relative positions of the players differ.

This means that the following 4 options are all the SAME thing:
ABCD
BCDA
CDAB
DABC

The first option (ABCD) is simply "revolved" around the diamond, so the relative positions of the players are NOT different.

Mathematically, we have to divide 24 by 4, so that remove all of the "duplicates"

[Reveal] Spoiler:
B

All in all, this a relatively rare issue on the GMAT (you probably won't see it; even if you aced the Quant section, you still probably wouldn't see it).

GMAT assassins aren't born, they're made,
Rich
_________________

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: 4 baseball players each stand at different corners of a base   [#permalink] 24 Dec 2014, 14:57
Similar topics Replies Last post
Similar
Topics:
In baseball, the batting average is defined as the ratio of a player’s 3 17 Mar 2016, 03:14
9 In the multiplication above, each letter stands for a differ 8 19 Oct 2013, 13:25
The number of singles that a baseball player hit increased 4 10 Jan 2012, 01:22
1 A deck of 52 cards is dealt out to 4 players (each player ha 4 10 Aug 2010, 09:33
19 4 baseball players each stand at different corners of a baseball diamo 7 08 Nov 2009, 13:02
Display posts from previous: Sort by

# 4 baseball players each stand at different corners of a base

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

 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®.