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

 It is currently 29 Jun 2015, 20:27

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

Colors

Author Message
TAGS:
Manager
Joined: 28 Apr 2003
Posts: 95
Location: Singapore
Followers: 1

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

Colors [#permalink]  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
Joined: 23 Sep 2003
Posts: 294
Location: US
Followers: 1

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

B?

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.
Similar topics Replies Last post
Similar
Topics:
13 m04q29 - color coding 23 10 Sep 2008, 17:53
1 There are 6 different colored balls along with their 6 1 12 Mar 2008, 18:12
The bowl contains chips of red and green color and no chips 6 20 Oct 2007, 16:52
There are 3 available colors and 4 houses. In how many 6 21 Nov 2006, 09:09
In a single row of yellow, green and red colored tiles, 11 24 Jun 2006, 14:24
Display posts from previous: Sort by

Colors

 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®.