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

It is currently 20 Jun 2018, 09:51
Search
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar
CLICK HERE TO HIDE/SHOW EVENTS

A family of 4 is at a restaurant with 6 choices on the menu

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
Moderator
avatar
V
Joined: 22 Jun 2014
Posts: 1047
Location: India
Concentration: General Management, Technology
Schools: IIMA , IIMB, ISB PGP Pro '19
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member
A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 10 Mar 2017, 23:50
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

53% (00:36) correct 47% (00:35) wrong based on 90 sessions

HideShow timer Statistics

A family of 4 is at a restaurant with 6 choices on the menu. If nobody orders the same meal, how many possible combinations of meals could they order?

A) 15

B) 30

C) 60

D) 180

E) 360
Spoiler: OA

_________________

---------------------------------------------------------------
Target - 720-740
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

2 KUDOS received
Senior Manager
Senior Manager
User avatar
G
Joined: 19 Apr 2016
Posts: 275
Location: India
Schools: Kelley '20, Mays '20, Broad '20, Carey '20, Jindal '20
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 10 Mar 2017, 23:59
2
HKD1710 wrote:
A family of 4 is at a restaurant with 6 choices on the menu. If nobody orders the same meal, how many possible combinations of meals could they order?

A) 15

B) 30

C) 60

D) 180

E) 360


Person 1 can order from 6 different choices
Person 2 can order from 5 different choices
Person 3 can order from 4 different choices
Person 4 can order from 3 different choices

total choices = 6*5*4*3 =360

Hence option E is correct
Hit Kudos if you liked it 8-)
Intern
Intern
avatar
Joined: 22 Dec 2013
Posts: 9
Location: United States
Schools: Wharton '20
Re: A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 11 Mar 2017, 00:09
HKD1710 wrote:
A family of 4 is at a restaurant with 6 choices on the menu. If nobody orders the same meal, how many possible combinations of meals could they order?

A) 15

B) 30

C) 60

D) 180

E) 360


Person 1 has all the 6 items to choose from so he can choose in 6 ways
Now since nobody orders the same meal and since person 1 has already selected his choice of meal, person 2 has 5 ways to choose
similarly person 3 has 4 ways and person 4 has 3 ways
Total ways = 6*5*4*3 =360

Hit Kudos if you find useful :)
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3510
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 11 Mar 2017, 08:14
HKD1710 wrote:
A family of 4 is at a restaurant with 6 choices on the menu. If nobody orders the same meal, how many possible combinations of meals could they order?

A) 15

B) 30

C) 60

D) 180

E) 360

\(6P_4 = 360\)

Answer must be (E) 360
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Senior Manager
Senior Manager
avatar
B
Joined: 06 Dec 2016
Posts: 251
Re: A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 12 Mar 2017, 10:28
Hi,

Can Bunuel or VeritasPrepKarishma help me.

Can you please explain to me how comes you use Permutations in this case?
I know we use Permutations when the order matters. While, we use Combinations when the order doesn't matter.
Can you elaborate how the order matters in this case.
Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8102
Location: Pune, India

Top Member of the Month
Re: A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 14 Mar 2017, 01:18
1
matthewsmith_89 wrote:
Hi,

Can Bunuel or VeritasPrepKarishma help me.

Can you please explain to me how comes you use Permutations in this case?
I know we use Permutations when the order matters. While, we use Combinations when the order doesn't matter.
Can you elaborate how the order matters in this case.


Question: how many possible combinations of meals could they order?
which means "In how many ways can they order?"

There are 4 people: say A, B, C, D
There are 6 meals: say M1, M2, ... M6

You have 6 meals and you have to choose 4 of them - this is a combination problem
Now, you have to distribute the 4 meals among the 4 people - this is permutation
A - M1, B - M2, C - M3, D - M4
is different from
A - M4, B - M2, C - M3, D - M1

A ordering M1 is different from A ordering M4 and hence the 4 meals need to be arranged among A, B, C and D.

Had the question been: A person arrives at a restaurant to pick 4 meals to take home. He notices that the menu has 6 meal options. In how many ways can he pick the 4 meals?

Here, this is just selection - a combination problem.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2738
Location: United States (CA)
Re: A family of 4 is at a restaurant with 6 choices on the menu [#permalink]

Show Tags

New post 15 Mar 2017, 16:53
1
HKD1710 wrote:
A family of 4 is at a restaurant with 6 choices on the menu. If nobody orders the same meal, how many possible combinations of meals could they order?

A) 15

B) 30

C) 60

D) 180

E) 360


Since each choice on the menu is unique and each person has to order a different meal, order DOES MATTER, and thus we have a permutation problem.

The number of ways for a family of 4 to select from 6 different choices on menu, if each person must select a different meal, is 6P4 = 6!/(6-4)! = 6 x 5 x 4 x 3 = 360 ways.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: A family of 4 is at a restaurant with 6 choices on the menu   [#permalink] 15 Mar 2017, 16:53
Print view
First unread post
Display posts from previous: Sort by

A family of 4 is at a restaurant with 6 choices on the menu

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

Moderators: chetan2u, VeritasPrepKarishma, Bunuel, niks18, mikemcgarry, generis

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions