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

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Manager
Joined: 21 Mar 2007
Posts: 73
Followers: 1

Kudos [?]: 68 [0], given: 0

A fast food company plans to build 4 new restaurants. If [#permalink]

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30 May 2008, 06:16
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
VP
Joined: 10 Jun 2007
Posts: 1459
Followers: 7

Kudos [?]: 221 [0], given: 0

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30 May 2008, 07:43
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
CEO
Joined: 29 Mar 2007
Posts: 2583
Followers: 19

Kudos [?]: 359 [0], given: 0

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30 May 2008, 07:49
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, 07:49
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# A fast food company plans to build 4 new restaurants. If

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