It is currently 20 Oct 2017, 13:11

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

3 men and 3 women need to be seated in 2 rows with 3 chairs

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 610

Kudos [?]: 922 [0], given: 22

Location: PA
3 men and 3 women need to be seated in 2 rows with 3 chairs [#permalink]

Show Tags

New post 28 Sep 2010, 06:47
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (00:29) correct 33% (00:33) wrong based on 69 sessions

HideShow timer Statistics

3 men and 3 women need to be seated in 2 rows with 3 chairs in each row. All men have to be seated in the back row . How many ways can this be done.

A. 6
B. 12
C. 24
D. 36
E. 72
[Reveal] Spoiler: OA

_________________

If the Q jogged your mind do Kudos me : )

Kudos [?]: 922 [0], given: 22

Intern
Intern
avatar
Joined: 30 Mar 2010
Posts: 9

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

Re: Counting [#permalink]

Show Tags

New post 28 Sep 2010, 07:01
_ _ _ = 3! ways women can be seated
_ _ _ = 3! ways men can be seated
3! x 3!= 36 ways total
Does anyone else agree?

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

Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 610

Kudos [?]: 922 [0], given: 22

Location: PA
Re: Counting [#permalink]

Show Tags

New post 28 Sep 2010, 07:10
I agree

what i had a doubt was since men have to be in the back row thats 3! ways and because of this women will be in the front row thats 3! why cant it be 6 + 6 = 12 ways since the row restriction is already in place
_________________

If the Q jogged your mind do Kudos me : )

Kudos [?]: 922 [0], given: 22

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129017 [0], given: 12187

Re: Counting [#permalink]

Show Tags

New post 28 Sep 2010, 07:22
Expert's post
1
This post was
BOOKMARKED
rxs0005 wrote:
I agree

what i had a doubt was since men have to be in the back row thats 3! ways and because of this women will be in the front row thats 3! why cant it be 6 + 6 = 12 ways since the row restriction is already in place


Principle of Multiplication
If one event can occur in \(m\) ways and a second can occur independently of the first in \(n\) ways, then the two events can occur in \(mn\) ways.

Or consider this: for one particular arrangement of men, say {m1, m2, m3} women in the front row can be arranged in 3!=6 ways, as total # of arrangements of men is 3!=6 then total # of arrangements of men and women is 3!*3!=36.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129017 [0], given: 12187

Manager
Manager
User avatar
Joined: 23 Apr 2009
Posts: 67

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

Location: Texas
Re: Counting [#permalink]

Show Tags

New post 28 Sep 2010, 08:09
Front: 3! = 6

Back: 3! = 6

6*6=36

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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16635

Kudos [?]: 273 [0], given: 0

Premium Member
Re: 3 men and 3 women need to be seated in 2 rows with 3 chairs [#permalink]

Show Tags

New post 22 Aug 2014, 04:13
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Re: 3 men and 3 women need to be seated in 2 rows with 3 chairs   [#permalink] 22 Aug 2014, 04:13
Display posts from previous: Sort by

3 men and 3 women need to be seated in 2 rows with 3 chairs

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.