It is currently 24 Feb 2018, 19:44

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many different carpool possibilities exist for 12 coworkers from

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43898
How many different carpool possibilities exist for 12 coworkers from [#permalink]

Show Tags

New post 13 Dec 2016, 06:04
Expert's post
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:47) correct 9% (00:53) wrong based on 179 sessions

HideShow timer Statistics

How many different carpool possibilities exist for 12 coworkers from the same neighborhood?

(1) Each of the three cars that will be used for carpooling seats exactly 4 people.
(2) If 2 of the coworkers took the day off, there would be fewer carpool possibilities.
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 597
Premium Member CAT Tests
Re: How many different carpool possibilities exist for 12 coworkers from [#permalink]

Show Tags

New post 13 Dec 2016, 21:00
1
This post received
KUDOS
Bunuel wrote:
How many different carpool possibilities exist for 12 coworkers from the same neighborhood?

(1) Each of the three cars that will be used for carpooling seats exactly 4 people.
(2) If 2 of the coworkers took the day off, there would be fewer carpool possibilities.


CARPOOL MEANING: an arrangement between people to make a regular journey in a single vehicle, typically with each person taking turns to drive the others.

Once you understand the meaning it is easy to identify the question.

Stat 1: There are three cars with 4 seats...then out of 12 workers...Since there is no restriction on the workers...

in the first car = 12C4 possibilities..
second car = 12C4
third car = 12C4.... Sufficient.

Stat 2: We don't have enough information about the cars here but we have 10 worker information...Hence insufficient.

IMO option A.
Intern
Intern
avatar
Joined: 17 Apr 2017
Posts: 2
Re: How many different carpool possibilities exist for 12 coworkers from [#permalink]

Show Tags

New post 18 Apr 2017, 21:24
I think it should be :

In first car, 12C4
Second car, 8C4
The remaining four people would automatically get the third car.

For each combination of first car, there are 8C4 combinations of second car (and automatic selection for third).
Therefore, total number of car pooling possibilities will be 12C4 * 8C4.
Re: How many different carpool possibilities exist for 12 coworkers from   [#permalink] 18 Apr 2017, 21:24
Display posts from previous: Sort by

How many different carpool possibilities exist for 12 coworkers from

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.