Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

Help with probability

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Fri Jul 23, 2010 10:15 am
Thanked: 1 times
by liouedwin » Mon Jul 18, 2011 12:10 pm
Hey guys,

I'm stuck on a probability question and was hoping for some help. It would be great if someone can go over how to solve this particular problem!

A committee of three is chosen from four married couples. How many different committees can be formed if people who are married to each other cannot serve together on the committee?

The answer is 32, but I can't quite get it.

Thanks in advance!
Top
Join the discussion
Source: — Problem Solving |
Newbie | Next Rank: 10 Posts
Posts: 9
Joined: Thu Jul 07, 2011 8:15 am

by gmatfeel » Mon Jul 18, 2011 1:09 pm
4 couples = 8 people in total.
The number of ways the committee can be formed out of 8 people =
= 8C3 (Using Combination formula)
= 8!/5!*3! = (Using Combination formula nCr = n!/(n-r)!*r!)
= 8*7 (solving and canceling the common terms from Numerator and denominator)
= 56

In choosing 3 people committee if one spot is taken by a couple, the third spot will be taken by the remaining people in 6C1 ways
So number of married couples we can have in each committee above is
= 4 * 6C1
= 4*6
= 24

Number of committees that can be formed without married couple serving together
= 56 - 24
= 32

That is a good question. Took lot of thinking.
Thanks...
Top
Join the discussion