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

 It is currently 27 May 2015, 10:13

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# 6 people form groups of 2 for a practical work. Each group

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 78

Kudos [?]: 596 [0], given: 43

Re: Combinations problems [#permalink]  16 Sep 2012, 08:02
fameatop wrote:
Bunuel wrote:
Gusano97 wrote:
A) 6 people form groups of 2 for a practical work. Each group is assigned one of three continents: Asia, Europe or Africa. In how many different ways can the work be organized?

B) In a group of 10 people, 6 women and 4 men. If a comission of three people has to be formed with at least one man, how many groups can we form?

Hi, and welcome to the Gmat Club. Below are the solutions for your problems. Hope it helps.

A. 6 people form groups of 2 for a practical work. Each group is assigned one of three continents: Asia, Europe or Africa. In how many different ways can the work be organized?

# of ways 6 people can be divided into 3 groups when order matters is: $$C^2_6*C^2_4*C^2_2=90$$.

Answer: 90.

Hi Bunuel,

In reference to the first question, i have a doubt which is- 90 is the no of ways in which 6 people can be divided into 3 groups of 2 persons each.
Shouldn't the answer be 90 x 6 = 540 because these 3 different teams can be sent to 3 different location in 3! ways.

Kindly correct me if i am wrong.

Waiting for your reply.

You are right, it should be 90*3! = 540. Order of groups matters here, as we have different continents.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

 Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes GMAT Pill GMAT Discount Codes
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 17

Kudos [?]: 265 [0], given: 11

Re: 6 people form groups of 2 for a practical work. Each group [#permalink]  28 Dec 2012, 02:35
Gusano97 wrote:
A) 6 people form groups of 2 for a practical work. Each group is assigned one of three continents: Asia, Europe or Africa. In how many different ways can the work be organized?

My approach:
How many ways to select 2-2-2 from 6 people?
$$=\frac{6!}{2!4!}*\frac{4!}{2!2!}*\frac{2!}{2!} = 90$$

How many ways to distribute to 3 groups? $$\frac{3!}{3!}=1$$
We divided by 3! because of 2 2 2 are identical distributions over 3 groups.

Answer: 90

Click here for more details and examples: Distributon on Different Containers
_________________

Impossible is nothing to God.

Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 17

Kudos [?]: 265 [0], given: 11

Re: 6 people form groups of 2 for a practical work. Each group [#permalink]  28 Dec 2012, 02:39
Gusano97 wrote:
A)
In a group of 10 people, 6 women and 4 men. If a comission of three people has to be formed with at least one man, how many groups can we form?

What are our possibilities:
M M M $$=\frac{4!}{3!1!}=4$$
M W W $$=\frac{4!}{1!3!}*\frac{6!}{2!4!}= 4 * 15 = 60$$
M M W $$=\frac{4!}{2!2!}*\frac{6!}{1!5!} = 6 * 6 = 36$$

$$=60+4+36 = 100$$

Answer: 100
_________________

Impossible is nothing to God.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4944
Followers: 299

Kudos [?]: 55 [0], given: 0

Re: 6 people form groups of 2 for a practical work. Each group [#permalink]  22 Jan 2014, 15:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4944
Followers: 299

Kudos [?]: 55 [0], given: 0

Re: 6 people form groups of 2 for a practical work. Each group [#permalink]  02 Apr 2015, 13:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: 6 people form groups of 2 for a practical work. Each group   [#permalink] 02 Apr 2015, 13:30

Go to page   Previous    1   2   [ 25 posts ]

Similar topics Replies Last post
Similar
Topics:
A committee of 3 has to be formed randomly from a group of 6 people 0 29 Jan 2015, 07:29
Form a skype group to practice IELTS or TOEFL speaking. 17 03 Apr 2014, 20:28
3 A line of people is divided into groups. Each group consists 5 25 Feb 2012, 23:59
25 A committee of 2 people is to be formed from a group of 8 11 22 Jan 2011, 02:06
If 6 people are to be divided to 3 different groups, each of 8 05 May 2006, 22:06
Display posts from previous: Sort by

# 6 people form groups of 2 for a practical work. Each group

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.