BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Problem 2

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 56
Joined: Sat May 24, 2008 5:18 pm
Thanked: 1 times
by anwarma » Tue Jun 10, 2008 9:05 am
A 4 person task force is to be formed from the 4 men and 3 women who work in a COMPANY G' HR dept. If there are to be 2 men and 2 women on this task force , how many different task forces can be formed?

(A) 14
(B) 18 <<--ANSWER
(C) 35
(D) 56
(E) 144

I am not sure how answer is 18.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 178
Joined: Wed May 14, 2008 3:51 pmFollowed by: 1 member
Thanked: 16 times
GMAT Score:99%+

by egybs » Tue Jun 10, 2008 9:15 am
We need to choose 2 men out of 4 men and 2 women out of 3 women. So we have the following combination that needs to occur:

4C2 * 3C2 = 18

Check out this excellent article on Permutations and Combinations:
https://www.mansw.nsw.edu.au/members/ref ... no4yen.htm
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 215
Joined: Mon Apr 21, 2008 8:07 am

by rosh26 » Tue Jun 10, 2008 4:26 pm
Hi Can you do the mathamatical computation to this answer?

Or even factorials would work...thanks...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 178
Joined: Wed May 14, 2008 3:51 pmFollowed by: 1 member
Thanked: 16 times
GMAT Score:99%+

by egybs » Tue Jun 10, 2008 4:42 pm
sure -

4C2 = 4!/(2!*(4-2)!) = 24/4 = 6

3C2 = 3!/(2!*(3-2)!) = 6/2 = 3

6*3=18
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Sun Dec 20, 2009 2:02 pm
Thanked: 3 times

by amirp » Wed Aug 11, 2010 2:53 pm
it seems like we ignore the part that says "A 4-person task force is to be formed..." . would the answer be the same if the question asked for "A 5-person task force is to be formed ... "?

can anyone clarify this?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 23
Joined: Sat May 15, 2010 3:30 pm
Location: Houston, TX
Thanked: 1 times

by ketandoshi » Wed Aug 11, 2010 6:32 pm
Amirp,

We are not neglecting "4 -person" as the task force has 2 men and 2 women (4C2* 3C2) if you had "5 -person" then it may ask as 3 men & 2 women or 2 men & 3 women. If I am wrong please somebody correct me.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Sun Dec 20, 2009 2:02 pm
Thanked: 3 times

by amirp » Wed Aug 11, 2010 7:46 pm
ohhhh, I see. you are correct. We are considering it, but in an indirect way.

thanks
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 34
Joined: Thu Aug 05, 2010 2:39 am

by likithae » Wed Aug 11, 2010 11:20 pm
ketandoshi wrote:Amirp,

We are not neglecting "4 -person" as the task force has 2 men and 2 women (4C2* 3C2) if you had "5 -person" then it may ask as 3 men & 2 women or 2 men & 3 women. If I am wrong please somebody correct me.

yes..... you are correct.......
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1