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

It is currently 25 Oct 2014, 03:26

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In how many ways is it possible to put seven apples and

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 24 Jun 2003
Posts: 94
Location: Moscow
Followers: 1

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

In how many ways is it possible to put seven apples and [#permalink] New post 11 Aug 2003, 06:59
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In how many ways is it possible to put seven apples and three oranges in two paper bags so that both bags to contain at least one orange and identical number of fruits?
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1613
Followers: 6

Kudos [?]: 57 [0], given: 0

 [#permalink] New post 11 Aug 2003, 08:49
10C5=252 total fives out of ten, but we count them twice, for one five defines the other
so, it is 126

wrong fives (no oranges, all apples) 7C5=21
126-21=105
Manager
Manager
User avatar
Joined: 24 Jun 2003
Posts: 147
Location: India
Followers: 1

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

 [#permalink] New post 14 Aug 2003, 23:35
stolyar wrote:
10C5=252 total fives out of ten, but we count them twice, for one five defines the other
so, it is 126

wrong fives (no oranges, all apples) 7C5=21
126-21=105


Stolyar,

Here's my line of thinking:

The ways in which this arrangement can be made are

BAG-1 BAG-2

1 Orng+4 App 2 Orng+3 App
2 Orng+3 App 1 Orng+4 App

Therefore, there are 2 ways in my opinion. What's the flaw in this argument?

The key difference is that I'm assuming all oranges to be similar and all apples to be similar, therefore no choosing is involved
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1613
Followers: 6

Kudos [?]: 57 [0], given: 0

 [#permalink] New post 15 Aug 2003, 00:14
1 Orng+4 App OR 2 Orng+3 App (2 combinations) would be OK if you had 5 fruits. But you have 10.

Consider
you have 1 white and 1 black balls, in how many combinations you can take a pair of black and white? The only combination--one black plus one white.

Now you have 1 white and 10 black balls; the question is the same--how many combinations. One again?
Manager
Manager
avatar
Joined: 24 Jun 2003
Posts: 94
Location: Moscow
Followers: 1

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

Answer [#permalink] New post 18 Aug 2003, 07:33
Stolyar's approach is the best. The answer is 105
Answer   [#permalink] 18 Aug 2003, 07:33
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic How many ways are possible to arrange A, B, C, C, and D with prasannar 5 20 Apr 2008, 11:48
How many ways are possible to arrange five letters so that sumitsarkar82 4 29 Aug 2006, 01:49
In how many ways can seven vacancies at a company be filled nisha_qutu 3 09 Sep 2005, 11:01
In how many ways can seven vacancies at a company be filled Arsene_Wenger 8 20 Feb 2005, 05:55
1- In how many ways can seven vacancies at a company be ashokkk 2 10 Nov 2004, 19:47
Display posts from previous: Sort by

In how many ways is it possible to put seven apples and

  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®.