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4 baseball players each stand at different corners of a base

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Senior Manager
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Status: Up again.
Joined: 31 Oct 2010
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Location: India
GMAT 1: 740 Q49 V42
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4 baseball players each stand at different corners of a base [#permalink] New post 08 Aug 2013, 11:17
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A
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Difficulty:

  35% (medium)

Question Stats:

57% (01:50) correct 43% (01:05) wrong based on 48 sessions
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

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Re: 4 baseball players each stand at different corners of a base [#permalink] New post 08 Aug 2013, 11:19
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
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Re: 4 baseball players each stand at different corners of a base [#permalink] New post 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
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Re: 4 baseball players each stand at different corners of a base   [#permalink] 08 Aug 2013, 11:45
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