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

 It is currently 19 Sep 2019, 00:13

### 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

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

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

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 22 Jun 2014
Posts: 1094
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

10 Mar 2017, 23:50
4
00:00

Difficulty:

35% (medium)

Question Stats:

59% (00:51) correct 41% (00:51) wrong based on 119 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

_________________
Senior Manager
Joined: 19 Apr 2016
Posts: 271
Location: India
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

10 Mar 2017, 23:59
3
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
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9637
Location: Pune, India
Re: A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

14 Mar 2017, 01:18
2
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

Manager
Joined: 06 Dec 2016
Posts: 243
Re: A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

12 Mar 2017, 10:28
1
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.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7753
Location: United States (CA)
Re: A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

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.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 22 Dec 2013
Posts: 8
Location: United States
Schools: Wharton '20
Re: A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

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
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4707
Location: India
GPA: 3.5
Re: A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

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

$$6P_4 = 360$$

_________________
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 )
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4739
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A family of 4 is at a restaurant with 6 choices on the menu  [#permalink]

### Show Tags

19 Apr 2019, 05:29
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

total choices ; 6*5*4*3 ; 360
IMO E
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: A family of 4 is at a restaurant with 6 choices on the menu   [#permalink] 19 Apr 2019, 05:29
Display posts from previous: Sort by