Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Aug 2610:00 AM EDT
-11:59 PM EDT
Save up to $1,000 on select GMAT prep now. This Fall, achieve your most ambitious goals with millions of student success stories behind you.
Aug 2710:00 AM EDT
-11:00 AM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.
Aug 3110:00 AM PDT
-11:00 AM EDT
Top Scores Start with a Elite Online Prep Course. Enroll for 6 months of access to over 400 hours of GMAT video lessons AND 715+ Score Guarantee!
Sep 0907:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway
08 Jan 2025, 00:35
Kudos
Bookmarks
From a group consisting of 3 married couples and 2 bachelors, a committee of 6 members is to be formed. How many different committees can be formed if the committee includes at most two married couples?
A. 12
B. 24
C. 25
D. 27
E. 28
A. 12
B. 24
C. 25
D. 27
E. 28
08 Jan 2025, 00:35
Kudos
Bookmarks
Official Solution:
From a group consisting of 3 married couples and 2 bachelors, a committee of 6 members is to be formed. How many different committees can be formed if the committee includes at most two married couples?
A. 12
B. 24
C. 25
D. 27
E. 28
When selecting 6 people out of 8, only one group of 6 will include all three married couples. Since we are interested in all combinations except the one that includes all three married couples, we subtract this single case. Therefore, \(8C6 - 1 = 27\) gives the total number of 6-member committees without all three married couples.
Answer: D
From a group consisting of 3 married couples and 2 bachelors, a committee of 6 members is to be formed. How many different committees can be formed if the committee includes at most two married couples?
A. 12
B. 24
C. 25
D. 27
E. 28
When selecting 6 people out of 8, only one group of 6 will include all three married couples. Since we are interested in all combinations except the one that includes all three married couples, we subtract this single case. Therefore, \(8C6 - 1 = 27\) gives the total number of 6-member committees without all three married couples.
Answer: D
