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

It is currently 22 Oct 2014, 00:05

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

From 4 oranges, 3 bananas and 2 apples, how many selections

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 18 Aug 2005
Posts: 17
Followers: 0

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

From 4 oranges, 3 bananas and 2 apples, how many selections [#permalink] New post 26 Nov 2005, 12:27
From 4 oranges, 3 bananas and 2 apples, how many selections of 5 pieces of fruit can be made, talking at least one of each kind.
SVP
SVP
User avatar
Joined: 05 Apr 2005
Posts: 1735
Followers: 3

Kudos [?]: 34 [0], given: 0

Re: Combinations [#permalink] New post 26 Nov 2005, 22:03
total combinations = (a + b + 3o), (a + 2b + 2o), (a + 3b + o), (2a + b + 2o), (2a + 2b + 1o)

possible numbers of combinations = (2c1 x 3c1 x 4c3) + (2c1 x 3c2 x 4c2) + (2c1 x 3c3 x 4c1) + (2c2 x 3c1 x 4c2) + (2c2 x 3c2 x 4c1)
= (2x3x4) + (2x3x6) + (2x1x4) + (1x3x6) + (1x3x4)
=24 + 36 + 8 + 18 + 12
= 98
Director
Director
avatar
Joined: 14 Sep 2005
Posts: 996
Location: South Korea
Followers: 2

Kudos [?]: 34 [0], given: 0

Re: Combinations [#permalink] New post 27 Nov 2005, 07:24
You buy at least one of each kind.

Number of oranges you can choose from = 4 -1 = 3
Number of bananas you can choose from = 3 - 1 = 2
Number of apples you can choose from = 2 - 1 = 1
------------------------------------------------------------
Total number of fruits you can choose from = 6

As you already have 3 fruits (one orange, one banana, and one apple),
you need to pick 2 more fruits.

6C2 = 15
_________________

Auge um Auge, Zahn um Zahn :twisted: !

Director
Director
avatar
Joined: 24 Oct 2005
Posts: 662
Location: London
Followers: 1

Kudos [?]: 6 [0], given: 0

 [#permalink] New post 27 Nov 2005, 07:30
I agree with gamjatang. It is 6C2.
  [#permalink] 27 Nov 2005, 07:30
    Similar topics Author Replies Last post
Similar
Topics:
Sue planted 4 times as many apple seeds as she planted orang sparkles3144 2 21 Aug 2014, 04:55
1 There were 2 apples and 5 bananas in a basket greatchap 6 25 Mar 2008, 03:29
In how many ways can 3 cards be selected from a pack of 52 sandman 1 26 Nov 2005, 12:17
From 3 apples, 4 plums and 2 grapefruits how many selections gmat2me2 9 06 Mar 2005, 16:12
From 3 apples, 4 plums and 2 grapefruits how many selections gmat2me2 7 04 Mar 2005, 19:50
Display posts from previous: Sort by

From 4 oranges, 3 bananas and 2 apples, how many selections

  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®.