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

It is currently 21 Oct 2014, 18:04

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

Of 5 employees, 3 are to be assigned an office and 2 are to

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 03 Aug 2013
Posts: 15
Followers: 1

Kudos [?]: 11 [0], given: 46

Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 02 Sep 2013, 01:14
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (02:43) correct 30% (01:46) wrong based on 141 sessions
Of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?

(A) 1/3
(B) 2/5
(C) 1/2
(D) 3/5
(E) 2/3
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Sep 2013, 01:16, edited 1 time in total.
RENAMED THE TOPIC.
Expert Post
4 KUDOS received
Moderator
Moderator
User avatar
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 1212
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 153

Kudos [?]: 1006 [4] , given: 931

GMAT ToolKit User Premium Member CAT Tests
Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 02 Sep 2013, 09:38
4
This post received
KUDOS
Expert's post
arakban99 wrote:
Of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?

(A) 1/3
(B) 2/5
(C) 1/2
(D) 3/5
(E) 2/3


Probability = \frac{Desired Outcomes}{Total Outcomes}

Event = Selection of 3 employees to assign office from 5 such that 2 are men and 1 is woman

Total Outcomes = Selection of any 3 employees from 5 employees = 5 C 3 = 10

Desired Outcomes = Selection of 2 Men from 3 Men AND selection of 1 woman from 2 Women. = (3 C 2) * (2 C 1) = 3*2 = 6

Probability = \frac{6}{10} --------> \frac{3}{5}
_________________

Be the coolest guy in the MBA Forum - Be a threadmaster!

Have a blog? Feature it on GMAT Club!

All MBA Resources All 'Sticky' Topics at one place

Please share your profiles for this application season: 2015 Profiles w/ Admit/Dings Results!

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Next Generation GMATClub CATS with Brilliant Analytics.


Manager
Manager
User avatar
Joined: 23 Jan 2013
Posts: 147
Followers: 0

Kudos [?]: 12 [0], given: 22

Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 06 Sep 2013, 22:06
i guessed that it at least more than 1/2, eliminated ABC and chose D. Combination approach looks best because i got crazy to do probability one. I used reverse one, which is
1 - (3/5*2/4*1/3+1/5*1/4*1+3/5*1/4*1/3+2/5*3/4*1/3)= 1- (1/10+1/10+1/10+1/10)=6/10=3/5

write if it is right
1 KUDOS received
Intern
Intern
avatar
Joined: 03 Aug 2013
Posts: 15
Followers: 1

Kudos [?]: 11 [1] , given: 46

Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 07 Sep 2013, 04:47
1
This post received
KUDOS
Temurkhon wrote:
i guessed that it at least more than 1/2, eliminated ABC and chose D. Combination approach looks best because i got crazy to do probability one. I used reverse one, which is
1 - (3/5*2/4*1/3+1/5*1/4*1+3/5*1/4*1/3+2/5*3/4*1/3)= 1- (1/10+1/10+1/10+1/10)=6/10=3/5

write if it is right


Well, your method is good, but I think this is a more safe method:

The committee should look like this : Man, Man, Woman

how to choose 3 people to be assigned in office from 5: 5C3 = 5!/3!2! = 10

How to choose 2 man and 1 woman= 3C2 * 2C1 = 3!/2! * 2!/1! = 6

Probability = Number of Desired outcome /Total possible outcome = 6/10 = 3/5
1 KUDOS received
Manager
Manager
avatar
Joined: 23 May 2013
Posts: 128
Followers: 0

Kudos [?]: 28 [1] , given: 110

GMAT ToolKit User
Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 08 Sep 2013, 01:14
1
This post received
KUDOS
offices can be allocated as m,m,w or m,w,m or w,m,m
P(m,m,w) = 3/5*2/4*2/3
P(m,w,m) = 3/5*2/4*2/3
P(w,m,m) = 2/5*3/4*2/4

Since its 'OR', need to add all the 3 probabilities. So answer is 1/5+1/5+1/5 = 3/5
somehow am not comfortable with combinations, hence chose to take a direct method.
_________________

“Confidence comes not from always being right but from not fearing to be wrong.”

Manager
Manager
User avatar
Joined: 18 Jul 2013
Posts: 63
Location: Italy
GMAT 1: 600 Q42 V31
Followers: 0

Kudos [?]: 18 [0], given: 111

CAT Tests
Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 06 Nov 2013, 15:47
Narenn wrote:
arakban99 wrote:
Of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?

(A) 1/3
(B) 2/5
(C) 1/2
(D) 3/5
(E) 2/3


Probability = \frac{Desired Outcomes}{Total Outcomes}

Event = Selection of 3 employees to assign office from 5 such that 2 are men and 1 is woman

Total Outcomes = Selection of any 3 employees from 5 employees = 5 C 3 = 10

Desired Outcomes = Selection of 2 Men from 3 Men AND selection of 1 woman from 2 Women. = (3 C 2) * (2 C 1) = 3*2 = 6

Probability = \frac{6}{10} --------> \frac{3}{5}


Hi Narenn, can you explain why the total outcomes is not 5! , (the number of ways to arrange 5 different objects)?
1 KUDOS received
Intern
Intern
User avatar
Status: preparing for the GMAT
Joined: 16 Jul 2013
Posts: 39
Concentration: Technology, Entrepreneurship
GMAT Date: 10-15-2013
GPA: 3.53
Followers: 0

Kudos [?]: 7 [1] , given: 4

Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 21 Nov 2013, 00:45
1
This post received
KUDOS
oss198 wrote:
Narenn wrote:
arakban99 wrote:
Of 5 employees, 3 are to be assigned an office and 2 are to be assigned a cubicle. If 3 of the employees are men and 2 are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to 2 of the men and 1 of the women?

(A) 1/3
(B) 2/5
(C) 1/2
(D) 3/5
(E) 2/3


Probability = \frac{Desired Outcomes}{Total Outcomes}

Event = Selection of 3 employees to assign office from 5 such that 2 are men and 1 is woman

Total Outcomes = Selection of any 3 employees from 5 employees = 5 C 3 = 10

Desired Outcomes = Selection of 2 Men from 3 Men AND selection of 1 woman from 2 Women. = (3 C 2) * (2 C 1) = 3*2 = 6

Probability = \frac{6}{10} --------> \frac{3}{5}


Hi Narenn, can you explain why the total outcomes is not 5! , (the number of ways to arrange 5 different objects)?



the question is asking for the probability of SELECTING 2 men & 1 woman, it does not matter if the selection includes woman A OR B.
hope it helps.
_________________

لا الله الا الله, محمد رسول الله


You never fail until you stop trying ,,,

Expert Post
1 KUDOS received
Moderator
Moderator
User avatar
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 1212
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 153

Kudos [?]: 1006 [1] , given: 931

GMAT ToolKit User Premium Member CAT Tests
Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 21 Nov 2013, 06:47
1
This post received
KUDOS
Expert's post
oss198 wrote:
Hi Narenn, can you explain why the total outcomes is not 5! , (the number of ways to arrange 5 different objects)?


Hi oss198,
Sorry, I saw your post today only.

Arrangement is out of context here. We are finding the ways of selecting the 3 persons out of 5. (either you choose ABC or BCA from ABCDE is same here)

Selection of 3 persons from 5 :- 5 C 3
selection of 3 persons from 5 and arranging them on 3 chairs :- 5 C 3 * 3!
Selection of 5 persons from 5 :- 5 C 5
Selection of 5 persons from 5 and arranging them on 5 chairs :- 5 C 5 * 5! --------> which ultimately turns out to be 5!

If you need brief insights of these concepts check my article, Permutations and Combinations (In my Signature).

Hope that helps! :)
_________________

Be the coolest guy in the MBA Forum - Be a threadmaster!

Have a blog? Feature it on GMAT Club!

All MBA Resources All 'Sticky' Topics at one place

Please share your profiles for this application season: 2015 Profiles w/ Admit/Dings Results!

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Next Generation GMATClub CATS with Brilliant Analytics.


Manager
Manager
User avatar
Joined: 18 Jul 2013
Posts: 63
Location: Italy
GMAT 1: 600 Q42 V31
Followers: 0

Kudos [?]: 18 [0], given: 111

CAT Tests
Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 23 Nov 2013, 06:59
Thanks a lot for your answers Aldossari and Narenn.
Narenn your signature is awesome :) i'll have a look.
1 KUDOS received
Intern
Intern
User avatar
Joined: 19 Mar 2013
Posts: 17
Followers: 0

Kudos [?]: 2 [1] , given: 24

CAT Tests
Re: Of 5 employees, 3 are to be assigned an office and 2 are to [#permalink] New post 12 Dec 2013, 23:01
1
This post received
KUDOS
1) 3/5*2/4*2/3=2/10 (where 3/5 probability of 1 man being selected, 2/4 the other man, 2/3 one woman)
2) 2/10*3=3/5 (multiplying by 3 as there are 3 cases in different order)
Re: Of 5 employees, 3 are to be assigned an office and 2 are to   [#permalink] 12 Dec 2013, 23:01
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic A certain company assigns employees to offices in such a way JCLEONES 10 08 Jan 2008, 07:55
A certain company assigns employees to offices in such a way singh_amit19 5 26 Sep 2007, 12:53
A certain company assigns employees to offices in such a way racha24 1 25 Aug 2007, 21:37
A certain company assigns employees to offices in such a way M8 8 29 Apr 2006, 20:47
A certain company assigns employees to offices in such a way DLMD 10 04 Feb 2005, 22:14
Display posts from previous: Sort by

Of 5 employees, 3 are to be assigned an office and 2 are to

  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®.