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A fast food company plans to build 4 new restaurants. If

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Manager
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Joined: 21 Mar 2007
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A fast food company plans to build 4 new restaurants. If [#permalink] New post 30 May 2008, 05:16
A fast food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the ordeer of selection does not matter?

A) 48
B) 288
C) 495
D) 990
E) 11880
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Re: Combinatorics [#permalink] New post 30 May 2008, 06:43
japped187 wrote:
A fast food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the ordeer of selection does not matter?

A) 48
B) 288
C) 495
D) 990
E) 11880


12C4 = 12! / 4!(12-4)! = 495
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Re: Combinatorics [#permalink] New post 30 May 2008, 06:49
japped187 wrote:
A fast food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the ordeer of selection does not matter?

A) 48
B) 288
C) 495
D) 990
E) 11880



Order does NOT matter.

12!/4!8! = 495
Re: Combinatorics   [#permalink] 30 May 2008, 06:49
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