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

It is currently 25 Oct 2014, 04:11

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Among 200 programmers working for an IT company, 30% know

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2769
Location: New York City
Followers: 8

Kudos [?]: 257 [0], given: 4

Among 200 programmers working for an IT company, 30% know [#permalink] New post 06 Nov 2007, 14:02
Among 200 programmers working for an IT company,
30% know C++
80% know VB
10% neither

In how many ways can a team of three programmers, all knowing both C++ and VB be formed?

2960
3990
6840
8820
9880
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2500
Followers: 54

Kudos [?]: 512 [0], given: 19

Re: combinations - C++ [#permalink] New post 06 Nov 2007, 16:55
bmwhype2 wrote:
Among 200 programmers working for an IT company,
30% know C++
80% know VB
10% neither

In how many ways can a team of three programmers, all knowing both C++ and VB be formed?

2960
3990
6840
8820
9880


20% of 200 = 40. so it is 40c3.

= 40c3
= (40x39x38x37!) / (3!x37!)
= (40x39x38x37!) / (3x2)
= (20x13x38)
= 9880 (should be without calculating)
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 5095
Location: Singapore
Followers: 19

Kudos [?]: 155 [0], given: 0

 [#permalink] New post 06 Nov 2007, 17:26
Using venn diagram:
#(only know c++) = 60-x
#(know both c++ and vb) = x
#(know VB) = 160-x
#(know neither) = 20

60-x + x + 160-x + 20 = 200
x = 40

# of 3 men team that can be formed from a group of 40 = 40C3 = 9880
Director
Director
avatar
Joined: 09 Aug 2006
Posts: 767
Followers: 1

Kudos [?]: 52 [0], given: 0

Re: combinations - C++ [#permalink] New post 06 Nov 2007, 21:18
bmwhype2 wrote:
Among 200 programmers working for an IT company,
30% know C++
80% know VB
10% neither

In how many ways can a team of three programmers, all knowing both C++ and VB be formed?

2960
3990
6840
8820
9880


Those who know both:
200 - 20 = 60 + 160 - Both
Both = 40

Answer = C(40,3)
Senior Manager
Senior Manager
avatar
Joined: 16 Apr 2006
Posts: 280
Followers: 2

Kudos [?]: 27 [0], given: 2

 [#permalink] New post 18 Dec 2007, 13:14
Darden2010 wrote:
overlaping set = 20%
20%*200 =40

ways 40 people can be arranged without repetition into groups of 3:
40!/(3!*37!) = (38*39*40)/(1*2*3) = 9880

Cheers!


I also have same approach.
_________________

Trying hard to achieve something unachievable now....

Director
Director
User avatar
Joined: 08 Jun 2007
Posts: 583
Followers: 2

Kudos [?]: 73 [0], given: 0

 [#permalink] New post 18 Dec 2007, 19:18
wow a question testing sets as well as combinations skills
true combination question ! :-D
Manager
Manager
avatar
Joined: 03 Sep 2006
Posts: 233
Followers: 1

Kudos [?]: 5 [0], given: 0

 [#permalink] New post 18 Dec 2007, 20:06
Late, but C:

T = 1 + 2 - both + neither
200 = 60 + 160 - x + 20
x = 40

40C3 = 9880
  [#permalink] 18 Dec 2007, 20:06
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic top mba programmes requiring no work experience vishalmikki 2 26 Jun 2013, 10:12
4 A software programmer does 20% of the work in 80% of the manukumar 4 01 Dec 2012, 02:58
18 Experts publish their posts in the topic A software programmer does 20% of the work in 80% of the vivatran 21 06 Mar 2011, 04:42
Which companies sponsors MBA programme rishi4you 2 10 Nov 2008, 17:48
Experts publish their posts in the topic In a survey of 200 college graduates, 30 percent said they M8 13 05 May 2006, 19:52
Display posts from previous: Sort by

Among 200 programmers working for an IT company, 30% know

  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®.