GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Nov 2018, 18:49

### 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

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Free lesson on number properties

November 23, 2018

November 23, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

# A small company employs 3 men and 5 women. If a team of 4

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 May 2009
Posts: 118
Location: London
Schools: Haas (WL), Kellogg (matricultating), Stanford (R2, ding), Columbia (ding)
WE 1: 3 years hotel industry sales and marketing France
WE 2: 3 years financial industry marketing UK
A small company employs 3 men and 5 women. If a team of 4  [#permalink]

### Show Tags

23 May 2010, 11:11
1
7
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:25) correct 29% (01:43) wrong based on 301 sessions

### HideShow timer Statistics

A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?

A. 1/14
B. 1/7
C. 2/7
D. 3/7
E. 1/2

I find the explanation provided in MGMAT very complicated and would like to know what techniques other people would recommend to solve this problem in 2 mins.

_________________

Yes I can!

Math Expert
Joined: 02 Sep 2009
Posts: 50711
Re: Proba and combinations (MGMAT)  [#permalink]

### Show Tags

23 May 2010, 11:37
4
4
nifoui wrote:
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
A: 1/14
B: 1/7
C: 2/7
D: 3/7
E: 1/2

I find the explanation provided in MGMAT very complicated and would like to know what techniques other people would recommend to solve this problem in 2 mins.

Will post OA later.

P=Favorable outcomes / Total # of outcomes

Favorable outcomes: 2 women and 2 men = $$C^2_5*C^2_3=30$$;
Total # of outcomes: 4 people out of 5+3=8 = $$C^4_8=70$$;

$$P=\frac{30}{70}=\frac{3}{7}$$.

_________________
Intern
Joined: 21 Apr 2010
Posts: 26
GMAT 1: 710 Q48 V40
Re: Proba and combinations (MGMAT)  [#permalink]

### Show Tags

23 May 2010, 11:32
6
lets see

Total amount of possible choices is

8! / 4! 4! = 8 x 6 x 7 x 5 / 4 x 3 x 2 = 70
the only way to have exactly 2 women is to have 2 men so the number of ways we can select 2men from 4 is

3!/ 2! = 3

the number of ways we can select 2 women from 5 is

5! /2! 3! = 5 x 4 / 2 = 10

the total different ways you can have 2 women and 2 men

3 x 10 = 30

desired outcome / total outcomes = probability -> 30 / 70 = 3/7

so it should be D

pS. Kudos are always welcomed
_________________

Ps. Kudos are always welcomed ; )

##### General Discussion
Manager
Joined: 04 May 2009
Posts: 118
Location: London
Schools: Haas (WL), Kellogg (matricultating), Stanford (R2, ding), Columbia (ding)
WE 1: 3 years hotel industry sales and marketing France
WE 2: 3 years financial industry marketing UK
Re: Proba and combinations (MGMAT)  [#permalink]

### Show Tags

23 May 2010, 13:47
Thank you both!

AO is D indeed
_________________

Yes I can!

Current Student
Status: The Final Countdown
Joined: 07 Mar 2013
Posts: 283
Concentration: Technology, General Management
GMAT 1: 710 Q47 V41
GPA: 3.84
WE: Information Technology (Computer Software)
Re: A small company employs 3 men and 5 women. If a team of 4  [#permalink]

### Show Tags

28 Nov 2014, 01:09
Bunuel,i did not understand why we took two men too?I did it like Favorable outcomes: selecting 2 women C^2_5
and Total # of outcomes: 4 people out of 5+3=8 = C^4_8=70;
Math Expert
Joined: 02 Sep 2009
Posts: 50711
Re: A small company employs 3 men and 5 women. If a team of 4  [#permalink]

### Show Tags

28 Nov 2014, 04:11
Ralphcuisak wrote:
Bunuel,i did not understand why we took two men too?I did it like Favorable outcomes: selecting 2 women C^2_5
and Total # of outcomes: 4 people out of 5+3=8 = C^4_8=70;

The team should have 4 employees out of which 2 are women, thus the remaining 2 will be men.
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 8865
Re: A small company employs 3 men and 5 women. If a team of 4  [#permalink]

### Show Tags

20 Oct 2018, 03:52
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: A small company employs 3 men and 5 women. If a team of 4 &nbs [#permalink] 20 Oct 2018, 03:52
Display posts from previous: Sort by