GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Dec 2018, 13:41

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

     December 14, 2018

     10:00 PM PST

     11:00 PM PST

    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

From a group of 10 boys and 7 girls, how many different 6-person hocke

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51215
From a group of 10 boys and 7 girls, how many different 6-person hocke  [#permalink]

Show Tags

New post 13 May 2017, 13:33
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

77% (01:20) correct 23% (02:06) wrong based on 77 sessions

HideShow timer Statistics

From a group of 10 boys and 7 girls, how many different 6-person hockey teams can be formed if the team must consist of 3 girls and 3 boys?

A. 155
B. 1200
C. 1360
D. 4200
E. 12376

_________________

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

Senior CR Moderator
User avatar
V
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1376
Location: Viet Nam
GMAT ToolKit User Premium Member
Re: From a group of 10 boys and 7 girls, how many different 6-person hocke  [#permalink]

Show Tags

New post 13 May 2017, 19:36
Bunuel wrote:
From a group of 10 boys and 7 girls, how many different 6-person hockey teams can be formed if the team must consist of 3 girls and 3 boys?

A. 155
B. 1200
C. 1360
D. 4200
E. 12376


Select 3 girls from 7 girls, there are \(7C3= \frac{5\times 6 \times 7}{2 \times 3}=35\) different selections.

Select 3 boys from 10 boys, there are \(10C3=\frac{8 \times 9 \times 10}{2 \times 3}=120\) different selections

The total combination is \(35 \times 120 =4200\)

The answer is D.
_________________

Actual LSAT CR bank by Broall

How to solve quadratic equations - Factor quadratic equations
Factor table with sign: The useful tool to solve polynomial inequalities
Applying AM-GM inequality into finding extreme/absolute value

New Error Log with Timer

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: From a group of 10 boys and 7 girls, how many different 6-person hocke  [#permalink]

Show Tags

New post 13 May 2017, 19:55
Bunuel wrote:
From a group of 10 boys and 7 girls, how many different 6-person hockey teams can be formed if the team must consist of 3 girls and 3 boys?

A. 155
B. 1200
C. 1360
D. 4200
E. 12376


Step 1: SELECT 3 boys out of 10 available boys = 10C3 = 120

Step 2: SELECT 3 Girls out of 7 available Girls = 7C3 = 35


For dependent events, we multiply the steps

Total Ways to make team = 10C3 * 7C3 = 120*35 = 4200

Answer: Option D
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Manager
Manager
avatar
G
Joined: 04 Jan 2016
Posts: 166
Location: United States (NY)
GMAT 1: 620 Q44 V32
GMAT 2: 600 Q48 V25
GMAT 3: 660 Q42 V39
GPA: 3.48
GMAT ToolKit User Premium Member
Re: From a group of 10 boys and 7 girls, how many different 6-person hocke  [#permalink]

Show Tags

New post 14 May 2017, 14:14
The solution is numbers of chosen boys times the number of chosen girls, therefore:

\(10C3 * 7C3 = \frac{10*9*8}{1*2*3} * \frac{7*6*5}{1*2*3}= 120*35=4200\)

The Correct option is: D
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4295
Location: United States (CA)
Re: From a group of 10 boys and 7 girls, how many different 6-person hocke  [#permalink]

Show Tags

New post 18 May 2017, 19:09
1
Bunuel wrote:
From a group of 10 boys and 7 girls, how many different 6-person hockey teams can be formed if the team must consist of 3 girls and 3 boys?

A. 155
B. 1200
C. 1360
D. 4200
E. 12376


We need to determine how many 6-person hockey teams can be formed if the team must consist of 3 girls and 3 boys.

The number of ways to select the boys is 10C3 = 10!/[3!(10-3)!] = (10 x 9 x 8)/3! = (10 x 9 x 8)/(3 x 2) = 120.

The number of ways to select the girls is 7C3 = 7!/[3!(7-3)!] = (7 x 6 x 5)/(3 x 2) = 35.

Thus, the number of ways to select the teams is 120 x 35 = 4,200.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9161
Premium Member
Re: From a group of 10 boys and 7 girls, how many different 6-person hocke  [#permalink]

Show Tags

New post 07 Aug 2018, 07:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: From a group of 10 boys and 7 girls, how many different 6-person hocke &nbs [#permalink] 07 Aug 2018, 07:32
Display posts from previous: Sort by

From a group of 10 boys and 7 girls, how many different 6-person hocke

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.