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 →

board of directors

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members
Location: Chennai, India
Thanked: 206 times
GMAT Score:640
by GmatKiss » Fri May 18, 2012 11:19 am
Anthony and Michael sit on the six-member board of directors
for company X. If the board is to be split up into 2 three-person
subcommittees, what percent of all the possible subcommittees that
include Michael also include Anthony?

· 20%
· 30%
· 40%
· 50%
· 60%
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 385
Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members
Location: Pune, India
Thanked: 186 times

by aneesh.kg » Fri May 18, 2012 2:03 pm
GmatKiss wrote:Anthony and Michael sit on the six-member board of directors
for company X. If the board is to be split up into 2 three-person
subcommittees, what percent of all the possible subcommittees that
include Michael also include Anthony?

· 20%
· 30%
· 40%
· 50%
· 60%
Required probability/chances = (Number of subcommittees that include Michael and Anthony)/(Number of subcommittees that include both Michael)

Number of subcommittees that include Michael = (Number of ways of including Michael) AND (Number of ways of selecting two people from the remaining five people) = 1C1*5C2 = 10

Number of subcommittees that include both Michael and Anthony = (Number of ways of selecting Michael and Anthony) AND (Number of ways of selecting one more person from the remaining 4 people) = 1C1*4C1 = 4

Required probability/chances = 4/10 or 40%

[spoiler](C)[/spoiler] is correct
Last edited by aneesh.kg on Sat May 19, 2012 1:15 pm, edited 1 time in total.
Aneesh Bangia
GMAT Math Coach
[email protected]

GMATPad:
Facebook Page: https://www.facebook.com/GMATPad
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members
Location: Toronto
Thanked: 1710 times
GMAT Score:800

by Stuart@KaplanGMAT » Fri May 18, 2012 4:07 pm
GmatKiss wrote:Anthony and Michael sit on the six-member board of directors
for company X. If the board is to be split up into 2 three-person
subcommittees, what percent of all the possible subcommittees that
include Michael also include Anthony?

· 20%
· 30%
· 40%
· 50%
· 60%
A great opportunity to use logic instead of math!

There are 5 different people with whom Michael can be matched. There are 2 spots available on Michael's team. Therefore, any one of the other 5 people will appear on 2/5 = 40% of Michael's teams. Pick C!
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

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 » Fri May 18, 2012 10:45 pm
GmatKiss wrote:Anthony and Michael sit on the six-member board of directors
for company X. If the board is to be split up into 2 three-person
subcommittees, what percent of all the possible subcommittees that
include Michael also include Anthony?

· 20%
· 30%
· 40%
· 50%
· 60%
The number of subcommittees having Michael is 5C2 = 10.
The number of subcommittees having both Michael and Anthony is 4C1 = 4.
So, required % is 4/10 * 100 = [spoiler]40%[/spoiler]

The correct answer is C.
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
Post new topic Post Reply
• Page 1 of 1