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

It is currently 16 Dec 2018, 21:08

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
  • 10 Keys to nail DS and CR questions

     December 17, 2018

     December 17, 2018

     06:00 PM PST

     07:00 PM PST

    Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

A photo is being taken of Central High School's nine-member

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

Hide Tags

Manager
Manager
avatar
Joined: 10 Nov 2010
Posts: 189
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 18 Mar 2012, 02:19
2
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (02:11) correct 34% (02:29) wrong based on 247 sessions

HideShow timer Statistics

A photo is being taken of Central High School's nine-member wrestling team. The team will stand in two rows, with the five shortest in the front row. The coach is also in the picture, in the middle of the back row. One of the taller boys is known to misbehave; to keep him from disrupting the photo session, he is placed next to the coach. How many possible arrangements of people are there for the photo?

A. 24
B. 30
C. 720
D. 1440
E. 2880

Guys M clear with arrange in front row ---5!

But for Back row i not sure

_________________

The proof of understanding is the ability to explain it.

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51230
Re: A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 18 Mar 2012, 04:38
GMATD11 wrote:
A photo is being taken of Central High School's nine-member wrestling team. The team will stand in two rows, with the five shortest in the front row. The coach is also in the picture, in the middle of the back row. One of the taller boys is known to misbehave; to keep him from disrupting the photo session, he is placed next to the coach. How many possible arrangements of people are there for the photo?

A. 24
B. 30
C. 720
D. 1440
E. 2880

Guys M clear with arrange in front row ---5!

But for Back row i not sure

FG[X]HI
ABCDE

ABCDE in in the front row can be arranged in 5!;
G (the boy who misbehaves) can be either to the right of the coach (X, which is fixed in the middle) or to the left, so 2 options, and other 3 boys (F, H, I) in the back row can be arranged in 3! ways;

Total: 5!*2*3!=1,440.

Answer: D.
_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51230
Re: A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 30 Jun 2013, 23:58
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Combinations: math-combinatorics-87345.html

DS questions on Combinations: search.php?search_id=tag&tag_id=31
PS questions on Combinations: search.php?search_id=tag&tag_id=52

Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html

_________________

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

Manager
Manager
avatar
Joined: 28 Feb 2012
Posts: 110
Concentration: Strategy, International Business
Schools: INSEAD Jan '13
GPA: 3.9
WE: Marketing (Other)
GMAT ToolKit User
Re: A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 01 Jul 2013, 00:51
1
GMATD11 wrote:
A photo is being taken of Central High School's nine-member wrestling team. The team will stand in two rows, with the five shortest in the front row. The coach is also in the picture, in the middle of the back row. One of the taller boys is known to misbehave; to keep him from disrupting the photo session, he is placed next to the coach. How many possible arrangements of people are there for the photo?

A. 24
B. 30
C. 720
D. 1440
E. 2880




For the purposes of easiness i assign the letters to each type of people:
S - shorter guys
T - taller guys
M - misbehaving guy
C - coach

So our arrangements: for shorter guys is SSSSS = 5! is the total combination since the first guy could be put in 5 ways, second in 4, third in 3 etc. 5*4*3*2*1
In the back row we have two cases TMCTT and TTCMT in both cases CM are fixed because coach has to be in the center, so only other 3 T will be changing their places. There are 3 places for 3 T, so 3!=6.
Now we need to find the total number of combinations possible, we multiply 5! to 3! and we get 720. But considering that there are two possible ways for upper row we multiply the result by 2 and get 1440. Answer is D.
_________________

If you found my post useful and/or interesting - you are welcome to give kudos!

MBA Section Director
User avatar
V
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 5890
City: Pune
GMAT ToolKit User Premium Member
Re: A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 01 Jul 2013, 11:28
1
There are basically two groups.
A group of 5 shorter players, which can be arranged themselves in 5! ways in front row
A group of 4 taller players, of which one player who is mischievous would stand right next to the coach. Remaining 3 taller players can be arranged themselves in 3! ways.

The coach will be in the middle of the taller players and the mischievous player can stand at right or at left of the coach. So we have to consider both these scenarios.

Arrangement of 5 shorter players in front row AND Arrangement of 3 taller players in back row(when mischievous player is to the immediate left of the coach) OR Arrangement of 5 shorter players in front row AND Arrangement of 3 taller players in back row(when mischievous player is to the immediate right of the coach)

We know in Permutations, Combinations, and Probability, AND stands for Multiplication and OR stands for Addition

Arrangement of 5 shorter players in front row * Arrangement of 3 taller players in back row(while mischievous player is to the immediate left of the coach) + Arrangement of 5 shorter players in front row * Arrangement of 3 taller players in back row(while mischievous player is to the immediate right of the coach)

5! * 3! + 5! * 3! ----------> 2(5!3!) -------> 1440 ------Choice D
_________________

Chances of Getting Admitted After an Interview [Data Crunch]


Must Read Forum Topics Before You Kick Off Your MBA Application

New GMAT Club Decision Tracker - Real Time Decision Updates

Current Student
avatar
Joined: 15 Sep 2013
Posts: 11
Schools: Sloan '19 (A)
GMAT 1: 700 Q46 V40
Reviews Badge
Re: A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 22 Sep 2013, 04:31
I can't seem to get the correct answer. I'm trying to solve this using the SLOT method.

Here's what I did:

Sol'n 1 (front row)
9*8*7*6*5/5!

Sol'n 2 (second row)
4*3*2/3!

Sol'n 3 (coach and misbehaved boy)
2 possible outcomes (to the left and right of the coach who is in the middle)

Multiplying the 3 sol'ns, I got 1,008 arrangements. How do I get the correct answer?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9193
Premium Member
Re: A photo is being taken of Central High School's nine-member  [#permalink]

Show Tags

New post 19 Aug 2018, 12:22
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: A photo is being taken of Central High School's nine-member &nbs [#permalink] 19 Aug 2018, 12:22
Display posts from previous: Sort by

A photo is being taken of Central High School's nine-member

  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®.