It is currently 14 Dec 2017, 20:43

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Combinatorics (very difficult)

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 22 Jun 2008
Posts: 104

Kudos [?]: 48 [0], given: 1

Schools: Darden School of Business (Class of 2012)
Combinatorics (very difficult) [#permalink]

Show Tags

New post 08 Sep 2008, 08:39
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi guys, I made a gmat prep yesterday and score more than 700. I need help with the following problem:

"A certain office supply store stocks 2 sizes of self stick notepads, each in 4 colors, blue, green, yelow or pink. The store packs the notepad in packages that contain either 3 notepads of the same size and of the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?"

A) 6 B) 8 C) 16 D) 24 E)32

Kudos [?]: 48 [0], given: 1

1 KUDOS received
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1790

Kudos [?]: 1104 [1], given: 5

Location: New York
Re: Combinatorics (very difficult) [#permalink]

Show Tags

New post 08 Sep 2008, 08:46
1
This post received
KUDOS
lordw wrote:
Hi guys, I made a gmat prep yesterday and score more than 700. I need help with the following problem:

"A certain office supply store stocks 2 sizes of self stick notepads, each in 4 colors, blue, green, yelow or pink. The store packs the notepad in packages that contain either 3 notepads of the same size and of the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?"

A) 6 B) 8 C) 16 D) 24 E)32


B G Y P -- Size 1
b g y p -- Size 2

For Size -1:
No . of ways 3 notepads of the same size and of the same color = 4 (BBB,GGG, YYY, PPP)
No . of ways 3 notepads of the same size and of 3 different colors= 4C3 (BGY,PGY, YPB, BPG)

For size -1 = 4+4C3 = 8
similarly For size -2 = 4+4C3 = 8

Total =16
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Kudos [?]: 1104 [1], given: 5

1 KUDOS received
Intern
Intern
avatar
Joined: 27 Aug 2007
Posts: 33

Kudos [?]: 19 [1], given: 0

Re: Combinatorics (very difficult) [#permalink]

Show Tags

New post 08 Sep 2008, 08:48
1
This post received
KUDOS
3 notepads of the same size and of the same color
4(colors) * 2 (sizes) = 8

3 notepads of the same size and of 3 different colors
4C3 (colors) * 2 (sizes) = 8

Total = 16 (C).

OA?

Kudos [?]: 19 [1], given: 0

Director
Director
User avatar
Joined: 12 Jul 2008
Posts: 514

Kudos [?]: 166 [0], given: 0

Schools: Wharton
Re: Combinatorics (very difficult) [#permalink]

Show Tags

New post 08 Sep 2008, 09:28
lordw wrote:
Hi guys, I made a gmat prep yesterday and score more than 700. I need help with the following problem:

"A certain office supply store stocks 2 sizes of self stick notepads, each in 4 colors, blue, green, yelow or pink. The store packs the notepad in packages that contain either 3 notepads of the same size and of the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?"

A) 6 B) 8 C) 16 D) 24 E)32


Same size and same color = 2*4 = 8
Same size and 3 different colors = 2*(4C3) = 8
Total = 8 + 8 = 16

Kudos [?]: 166 [0], given: 0

Manager
Manager
avatar
Joined: 22 Jun 2008
Posts: 104

Kudos [?]: 48 [0], given: 1

Schools: Darden School of Business (Class of 2012)
Re: Combinatorics (very difficult) [#permalink]

Show Tags

New post 08 Sep 2008, 10:46
OA is your answer, regards and tks!

lkothari wrote:
3 notepads of the same size and of the same color
4(colors) * 2 (sizes) = 8

3 notepads of the same size and of 3 different colors
4C3 (colors) * 2 (sizes) = 8

Total = 16 (C).

OA?

Kudos [?]: 48 [0], given: 1

Re: Combinatorics (very difficult)   [#permalink] 08 Sep 2008, 10:46
Display posts from previous: Sort by

Combinatorics (very difficult)

  post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: chetan2u



GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.