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 →

Probability Question

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Fri Jun 18, 2010 5:57 am
by sunny.bhasin » Sat Jun 11, 2011 3:05 am
Q) The "Cruz" club has just opened its membership. 12 women and 10 men have applied for the membership. In how many ways can 10 women and 8 men be selected if two particular women and 2 particular men need to be compulsorily selected?

1200

1820

1440

2970

1260

Can someone explain this?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Sat Jun 11, 2011 3:13 am
sunny.bhasin wrote:Q) The "Cruz" club has just opened its membership. 12 women and 10 men have applied for the membership. In how many ways can 10 women and 8 men be selected if two particular women and 2 particular men need to be compulsorily selected?
As 2 particular women and 2 particular men need to be compulsorily selected, we have to select (10 - 2) = 8 women out of (12 - 2) = 10 women and (8 - 2) = 6 men out of (10 - 2) = 8 men.

Total numbers of ways to select 6 men out of 8 = 8C6 = 28
Total numbers of ways to select 8 women out of 10 = 10C8 = 45

Hence, total number of ways of selection = 28*45 = 1260

The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Fri Jun 18, 2010 5:57 am

by sunny.bhasin » Sat Jun 11, 2011 3:19 am
It clears my doubt.Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members
Location: India
Thanked: 310 times
GMAT Score:750

by cans » Tue Jun 14, 2011 3:27 am
total 12W,10M
to select: 10W,8M
select those particular 2 men and 2 women.
Remaining: 10W,8M
to select:8W,6M
no. of ways = 10C8*8C6 = 10*9*8*7/4 =1260
IMO E
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1