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

It is currently 23 Jul 2014, 14:14

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

1)7 different objects must be divided among 3 people.In how

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 22 Jun 2004
Posts: 2
Followers: 0

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

1)7 different objects must be divided among 3 people.In how [#permalink] New post 24 Jun 2004, 10:07
(1)7 different objects must be divided among 3 people.In how many ways can this be done if one or tow of them can get no objects?
(a)15120 (b)2187 (c)3003 (d)792



(2)7 different objects must be divided among 3 people.In how many ways can this be done if at least one out of them must get no objects?
(a)381 (b)36 (c)84 (d)174



(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?
(a)2484 (b)1176 (c)729 (d)None of these
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

 [#permalink] New post 24 Jun 2004, 23:12
hello wannabe

welcome to gmatclub. you will have a better response if you post one question per thread.
Manager
Manager
User avatar
Joined: 07 May 2004
Posts: 184
Location: Ukraine, Russia(part-time)
Followers: 2

Kudos [?]: 4 [0], given: 0

GMAT Tests User
Re: Permutation & Combination [#permalink] New post 24 Jun 2004, 23:50
wanna_mba_2005 wrote:
(1)7 different objects must be divided among 3 people.In how many ways can this be done if one or tow of them can get no objects?
(a)15120 (b)2187 (c)3003 (d)792



(2)7 different objects must be divided among 3 people.In how many ways can this be done if at least one out of them must get no objects?
(a)381 (b)36 (c)84 (d)174



(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?
(a)2484 (b)1176 (c)729 (d)None of these


1. In 3^7 = 2187 ways, because each object can go to 3 different people, and by the rule of multiplying we get 3*3*...*3 = 3^7 ways.

2. If first has no objects, then 2^7. => 3*2^7 - (common cases, when at least 2 get no objects, there are 3 such cases) = 128*3 - 3 = 381.
Manager
Manager
User avatar
Joined: 07 May 2004
Posts: 184
Location: Ukraine, Russia(part-time)
Followers: 2

Kudos [?]: 4 [0], given: 0

GMAT Tests User
Re: Permutation & Combination [#permalink] New post 24 Jun 2004, 23:58
wanna_mba_2005 wrote:
(3)7 different objects must be divided among 3 people.In how many ways can this be done if at least one of them gets exactly one object?
(a)2484 (b)1176 (c)729 (d)None of these


# of combs where all three get exactly 1 object is 0.

# of combs where 2 get exactly 1 object is 3*2*C[2,7].

# of combs where 1 gets exactly 1 object is 3*7*(2^6 - 6).

=> total # = 6*7*6/2 + 3*7*58 = 7*(18 + 174) = 192*7 = 1344.

None of the answers... Maybe it is reasonable to notice that 7 should divide the answer. 2484 does not satisfy, 729 either. But 1176 = 24*(50-1) :: 7...
Intern
Intern
avatar
Joined: 22 Jun 2004
Posts: 2
Followers: 0

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

Permutation & Combination [#permalink] New post 25 Jun 2004, 10:05
Thanks to all of you for solving the problems.The third one still continues to nag me.The official answer happens to be (b) and I am clueless...just one of those things you can sleep over!
Permutation & Combination   [#permalink] 25 Jun 2004, 10:05
    Similar topics Author Replies Last post
Similar
Topics:
1 If 72 cupcakes must be divided equally among the students in manalq8 5 19 Nov 2011, 11:31
The total cost of a vacation was divided among 3 people. If blog 2 31 Jan 2008, 19:00
If 6 people are to be divided to 3 different groups, each of getzgetzu 8 05 May 2006, 22:06
Q1) In how many ways 5 candies can be divided among 3 cool_jonny009 11 20 Jan 2006, 13:43
If a jar of candies is divided among 3 children, how many GMATT73 1 03 Nov 2005, 00:31
Display posts from previous: Sort by

1)7 different objects must be divided among 3 people.In how

  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®.