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

It is currently 05 Jul 2015, 23:42


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.

for You

we will pick new questions that match your level based on your Timer History

Your Progress

every week, we’ll send you an estimated GMAT score based on your performance


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


  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Joined: 28 Apr 2003
Posts: 95
Location: Singapore
Followers: 1

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

Colors [#permalink] New post 22 Jan 2004, 05:49
This problem needs to use factorial, and could anyone enlighten how to solve this?

Qn 281

A company that ships boxes to a total of 12 distribution centres uses colour coding to identify each center. If either a single colour or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? [Assume that the order of the colors in a pair does not matter.]

a. 4
b. 5
c. 6
d. 12
e. 24
Senior Manager
Senior Manager
Joined: 23 Sep 2003
Posts: 294
Location: US
Followers: 1

Kudos [?]: 2 [0], given: 0

 [#permalink] New post 22 Jan 2004, 06:06

Assuming you choose 4 colors: A, B, C and D

4C2 = 6 combinations of paired colors.

So total possible number of colors = 6 + 4 = 10 which is insufficient since we need 12.

Add one more color (say E) to get 5 single colors which will give you 5C2 = 10 paired colors
5 + 10 = 15 which is greater than 12.

5 is the minimum.
  [#permalink] 22 Jan 2004, 06:06
    Similar topics Author Replies Last post
13 Experts publish their posts in the topic m04q29 - color coding sarzan 23 10 Sep 2008, 17:53
1 There are 6 different colored balls along with their 6 bmwhype2 1 12 Mar 2008, 18:12
The bowl contains chips of red and green color and no chips beckee529 6 20 Oct 2007, 16:52
There are 3 available colors and 4 houses. In how many conocieur 6 21 Nov 2006, 09:09
In a single row of yellow, green and red colored tiles, shehreenquayyum 11 24 Jun 2006, 14:24
Display posts from previous: Sort by


  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®.