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

It is currently 21 Oct 2018, 16:20

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

The Coen family consists of a father, a mother, two children

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

Hide Tags

Manager
Manager
avatar
Joined: 18 Oct 2010
Posts: 76
The Coen family consists of a father, a mother, two children  [#permalink]

Show Tags

New post 30 May 2012, 22:13
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:01) correct 33% (01:19) wrong based on 249 sessions

HideShow timer Statistics

The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?

A. 12
B. 24
C. 48
D. 60
E. 120


Bunuel your solution is required, thank you.
Manager
Manager
avatar
Joined: 13 May 2011
Posts: 245
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Re: combinations  [#permalink]

Show Tags

New post 30 May 2012, 23:32
4!*2= 48
(Father*Mother)*c1*c2*Dog
Manager
Manager
avatar
Joined: 18 Oct 2010
Posts: 76
Re: combinations  [#permalink]

Show Tags

New post 30 May 2012, 23:35
BDSunDevil wrote:
4!*2= 48
(Father*Mother)*c1*c2*Dog


hi thanks but please can you elaborate,in a more simpler manner, couldn't get it
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50009
Re: The Coen family consists of a father, a mother, two children  [#permalink]

Show Tags

New post 31 May 2012, 01:41
1
3
Joy111 wrote:
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?

A. 12
B. 24
C. 48
D. 60
E. 120

Bunuel your solution is required, thank you.


We need to find the number of arrangements of Father, Mother, Child-1, Child-2, and a Dog, so that F and M are always together.

Consider F and M to be one unit, then we would have total of four units: {FM}, {C1}, {C2}, {D}. The number of arrangements of these four units is 4!, but F and M within their unit can be arranged in 2 ways: {FM} or {MF}, so total number of arrangements is 4!*2=48.

Answer: C.

Hope it's clear.
_________________

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: 18 Oct 2010
Posts: 76
Re: The Coen family consists of a father, a mother, two children  [#permalink]

Show Tags

New post 31 May 2012, 02:26
Bunuel wrote:
Joy111 wrote:
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?

A. 12
B. 24
C. 48
D. 60
E. 120

Bunuel your solution is required, thank you.


We need to find the number of arrangements of Father, Mother, Child-1, Child-2, and a Dog, so that F and M are always together.

Consider F and M to be one unit, then we would have total of four units: {FM}, {C1}, {C2}, {D}. The number of arrangements of these four units is 4!, but F and M within their unit can be arranged in 2 ways: {FM} or {MF}, so total number of arrangements is 4!*2=48.

Answer: C.

Hope it's clear.

Bunuel thank you +1 , please can you show me the link to more similar questions, so that I can clear my concept
Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 115
Re: The Coen family consists of a father, a mother, two children  [#permalink]

Show Tags

New post 06 Sep 2014, 05:54
1
Joy111 wrote:
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?

A. 12
B. 24
C. 48
D. 60
E. 120


Bunuel your solution is required, thank you.



eeee.. got this question wrong.. just counted father & mother as an single entity but forget to count 2 possibility where they could be arranged by themselves.
Intern
Intern
avatar
Joined: 08 Dec 2015
Posts: 2
GMAT ToolKit User
Re: The Coen family consists of a father, a mother, two children  [#permalink]

Show Tags

New post 30 Jan 2016, 03:46
Hello,
I don't understand why in this case we do not use the usual method: total arrangements - restrictions. For example, why in this case we can't solve it like this: 5! - 4!*2 ?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8506
Premium Member
Re: The Coen family consists of a father, a mother, two children  [#permalink]

Show Tags

New post 04 Feb 2018, 06:04
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: The Coen family consists of a father, a mother, two children &nbs [#permalink] 04 Feb 2018, 06:04
Display posts from previous: Sort by

The Coen family consists of a father, a mother, two children

  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®.