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

It is currently 23 Oct 2014, 08:58

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 12 different things can be divided equally

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 618
Location: PA
Followers: 3

Kudos [?]: 191 [0], given: 22

In how many ways 12 different things can be divided equally [#permalink] New post 12 Jan 2005, 17:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:07) correct 0% (00:00) wrong based on 0 sessions
In how many ways 12 different things can be divided equally among 3 people.

The answer is in Factorial form.
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

 [#permalink] New post 12 Jan 2005, 20:44
Gp of 4 things has to be created....so total gps that can be formed = 12C4 = 495 gps


Now select these gps for 3 ppl ==> 495 x 494 x 493 ==> 495! / 492 !


Ans: 495! / 492 !....is that correct ?
Senior Manager
Senior Manager
avatar
Joined: 22 Jun 2004
Posts: 394
Location: Bangalore, India
Followers: 1

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

Re: PS: Another counting problem [#permalink] New post 13 Jan 2005, 00:05
I am throwing my answer :-D

12 different things have to be divided among 3 people.

The number of ways the first guy can order 4 out of 12 is 12p4
The number of ways the second guy can order 4 out of 8 is 8p4
The number of ways the third guy can order 4 out of 4 is 4p4

The total number of ways 12 different things can be divided equally among 3 people is = 12p4 * 8p4 * 4p4 = 12!


rxs0005 wrote:
In how many ways 12 different things can be divided equally among 3 people.

The answer is in Factorial form.

_________________

Awaiting response,

Thnx & Rgds,
Chandra

Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 618
Location: PA
Followers: 3

Kudos [?]: 191 [0], given: 22

 [#permalink] New post 13 Jan 2005, 05:20
This one sounds tricky but the math is simple

the first set of 4 things can be picked in

12C4 ways so remaining is 8 that can be picked in 8C4 ways and the last 4 can be chosen in 4C4 ways

so total number of ways are


12C4 * 8C4 * 4C4 = 12! / ( 4!) ^ 3
Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 609
Followers: 3

Kudos [?]: 25 [0], given: 0

 [#permalink] New post 13 Jan 2005, 07:39
rxs,

Thank you for this question. I was wondering why the answer is not the basic "12C8.8C4.4C4/3!"as there are only 3 people to divide the things in ?
Senior Manager
Senior Manager
avatar
Joined: 22 Jun 2004
Posts: 394
Location: Bangalore, India
Followers: 1

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

 [#permalink] New post 13 Jan 2005, 07:44
Hi twixt,

You may not like to divide because the number of ways of division is important among 3. i.e., order is important .So, no division with 3! However, there is no order within the lot of 4 picked up.

Hope I made some sense here!!

twixt wrote:
rxs,

Thank you for this question. I was wondering why the answer is not the basic "12C8.8C4.4C4/3!"as there are only 3 people to divide the things in ?

_________________

Awaiting response,

Thnx & Rgds,
Chandra

Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 609
Followers: 3

Kudos [?]: 25 [0], given: 0

 [#permalink] New post 13 Jan 2005, 07:52
Hi Malellac,

My vision was the opposite as people here are not distinct...
Senior Manager
Senior Manager
avatar
Joined: 22 Jun 2004
Posts: 394
Location: Bangalore, India
Followers: 1

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

 [#permalink] New post 13 Jan 2005, 07:58
Hi twixt,

As per my tutor (long time back), people are always distinct in probability unelss the stem says that the people wear masks and thus look alike or something like that.

So, I follow it always. Do let me know your opinion on this.

twixt wrote:
Hi Malellac,

My vision was the opposite as people here are not distinct...

_________________

Awaiting response,

Thnx & Rgds,
Chandra

Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 609
Followers: 3

Kudos [?]: 25 [0], given: 0

 [#permalink] New post 13 Jan 2005, 08:14
My opinion is not as strutured as yours !

The way I consider this distinct/non distinct stuff is for instance :

X items into 3 groups : non distincts then divide by 3!
X items into 3 groups named A B and C : distinct then no division is required
Senior Manager
Senior Manager
avatar
Joined: 22 Jun 2004
Posts: 394
Location: Bangalore, India
Followers: 1

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

 [#permalink] New post 13 Jan 2005, 08:18
But, the stem says equal division among 3 people!
What does it mean here?

twixt wrote:
My opinion is not as strutured as yours !

The way I consider this distinct/non distinct stuff is for instance :

X items into 3 groups : non distincts then divide by 3!
X items into 3 groups named A B and C : distinct then no division is required

_________________

Awaiting response,

Thnx & Rgds,
Chandra

Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 609
Followers: 3

Kudos [?]: 25 [0], given: 0

 [#permalink] New post 13 Jan 2005, 08:21
IMO just that there are 4 things allocated to each people.
Manager
Manager
avatar
Joined: 06 Sep 2004
Posts: 69
Followers: 1

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

 [#permalink] New post 13 Jan 2005, 14:22
12C4 * 8C4 * 3! should be the answer.

In factorial form: (12! * 3!)/(4! * 4! * 4!)
Senior Manager
Senior Manager
avatar
Joined: 22 Jun 2004
Posts: 394
Location: Bangalore, India
Followers: 1

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

 [#permalink] New post 13 Jan 2005, 22:57
I donot think so. IMO 12C4 * 8C4 * 4C4 is correct.

ssumitsh wrote:
12C4 * 8C4 * 3! should be the answer.

In factorial form: (12! * 3!)/(4! * 4! * 4!)

_________________

Awaiting response,

Thnx & Rgds,
Chandra

  [#permalink] 13 Jan 2005, 22:57
    Similar topics Author Replies Last post
Similar
Topics:
In how many different ways can a group of 8 be divided into suntaurian 1 09 Mar 2008, 00:02
Experts publish their posts in the topic How many different ways can a group of 12 people be divided bmwhype2 4 12 Dec 2007, 05:28
In how many different ways can a group of 8 be divided into Ozmba 7 09 Nov 2007, 10:49
How many different ways can a group of 8 be divided into 4 21stCenturion 6 22 Jan 2006, 08:48
In how many ways can 12 different books be divided equally ashkg 4 13 Jun 2005, 06:09
Display posts from previous: Sort by

In how many ways 12 different things can be divided equally

  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®.