Last visit was: 01 Jun 2024, 08:31 It is currently 01 Jun 2024, 08:31
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

How many different ways can a group of 12 people be divided

User avatar
bmwhype2
VP
VP
Joined: 21 Jan 2007
Posts: 1345
Own Kudos [?]: 5042 [0]
Given Kudos: 4
Location: New York City
Send PM
How many different ways can a group of 12 people be divided [#permalink] How many different ways can a group of 12 people be divided   12 Dec 2007, 06:28
How many different ways can a group of 12 people be divided into 6 different teams of 2 people each?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
eschn3am
Senior Manager
Senior Manager
Joined: 12 Jul 2007
Posts: 399
Own Kudos [?]: 547 [0]
Given Kudos: 0
 Q50  V45
Send PM
Re: How many different ways can a group of 12 people be divided [#permalink] How many different ways can a group of 12 people be divided   12 Dec 2007, 07:14
would it be...

(12*11)+(10*9)+(8*7)+(6*5)+(4*3)+(2*1)

132+90+56+30+12+2 = 322 ways

I'm not 100% confident with that answer. What's the OA?
User avatar
B
walker
SVP
SVP
Joined: 17 Nov 2007
Posts: 2408
Own Kudos [?]: 10074 [0]
Given Kudos: 361
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Send PM
GMAT ToolKit User
Re: How many different ways can a group of 12 people be divided [#permalink] How many different ways can a group of 12 people be divided   12 Dec 2007, 08:09
Expert Reply
N=12C2*10C2*8C2*6C2*4C2*2C2/6!=10395

https://www.gmatclub.com/forum/t55369
User avatar
bmwhype2
VP
VP
Joined: 21 Jan 2007
Posts: 1345
Own Kudos [?]: 5042 [0]
Given Kudos: 4
Location: New York City
Send PM
Re: How many different ways can a group of 12 people be divided [#permalink] How many different ways can a group of 12 people be divided   12 Dec 2007, 08:33
There are going to be 6 groups. 6!

11 * 9 * 7 * 5 * 3
99 * 35 * 3
10,395

This is a variant q i made up.
User avatar
eschn3am
Senior Manager
Senior Manager
Joined: 12 Jul 2007
Posts: 399
Own Kudos [?]: 547 [0]
Given Kudos: 0
 Q50  V45
Send PM
Re: How many different ways can a group of 12 people be divided [#permalink] How many different ways can a group of 12 people be divided   12 Dec 2007, 09:04
bmwhype2 wrote:
There are going to be 6 groups. 6!

11 * 9 * 7 * 5 * 3
99 * 35 * 3
10,395

This is a variant q i made up.


Is this the thought process here.

You have 12 people being split up into 6 groups and order doesn't matter (Joe and Susie = Susie + Joe)

It doesn't matter who you choose first, you have 11 choices from their partner.

Then it doesn't matter who you choose next, but you have 9 people to team up with them

etc etc

I like that way. Very simple and straight forward



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: How many different ways can a group of 12 people be divided [#permalink]
12 Dec 2007, 09:04
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3132 posts