It is currently 20 Jan 2018, 10:39

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

Events & Promotions in June
Open Detailed Calendar

Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a

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

Hide Tags

Intern
Intern
avatar
B
Joined: 13 Oct 2015
Posts: 17

Kudos [?]: 20 [0], given: 7

Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 08:32
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:13) correct 38% (01:23) wrong based on 55 sessions

HideShow timer Statistics

Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a photo. What is the probability that none of the three girls will stand next to one another?

(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
(E) 0.5
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Jan 2017, 09:24, edited 1 time in total.
Edited the options.

Kudos [?]: 20 [0], given: 7

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 331

Kudos [?]: 123 [1], given: 36

Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 09:26
1
This post received
KUDOS
DrAB wrote:
Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a photo. What is the probability that none of the three girls will stand next to one another?

(A) 0,1
(B) 0,2
(C) 0,3
(D) 0,4
(E) 0,5


Out of 5 , then the only position the three girls can take are 1, 3 and 5th so they are have 3! ways of standing in those position and remaining 2 boys can have 2! ways. So Probability = \(\frac{3! * 2!}{5!} =\frac{1}{10}\)
Answer is A

Kudos [?]: 123 [1], given: 36

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 120

Kudos [?]: 43 [0], given: 15

GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 17:39
Senthil1981 wrote:
DrAB wrote:
Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a photo. What is the probability that none of the three girls will stand next to one another?

(A) 0,1
(B) 0,2
(C) 0,3
(D) 0,4
(E) 0,5


Out of 5 , then the only position the three girls can take are 1, 3 and 5th so they are have 3! ways of standing in those position and remaining 2 boys can have 2! ways. So Probability = \(\frac{3! * 2!}{5!} =\frac{1}{10}\)
Answer is A


This is a poor-quality question.
How can one tell there are 3 girls?

Kudos [?]: 43 [0], given: 15

Manager
Manager
avatar
B
Joined: 26 Jan 2016
Posts: 115

Kudos [?]: 25 [0], given: 55

Location: United States
GPA: 3.37
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 19:19
I did it this way...

BTW we can tell the number of girls (although I though this should be more clear) because, based on the answer choices, we know there is at least ONE way they can stand all separate. So there are 3 girls and 2 boys.

Total number of options they could stay 5!=120

The number of ways for the girls to be separate

3*2*2*1*1=12
12/120=1/10

Kudos [?]: 25 [0], given: 55

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 331

Kudos [?]: 123 [1], given: 36

Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 19:42
1
This post received
KUDOS
Donnie84 wrote:
Senthil1981 wrote:
DrAB wrote:
Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a photo. What is the probability that none of the three girls will stand next to one another?

(A) 0,1
(B) 0,2
(C) 0,3
(D) 0,4
(E) 0,5


Out of 5 , then the only position the three girls can take are 1, 3 and 5th so they are have 3! ways of standing in those position and remaining 2 boys can have 2! ways. So Probability = \(\frac{3! * 2!}{5!} =\frac{1}{10}\)
Answer is A


This is a poor-quality question.
How can one tell there are 3 girls?


The question says "none of the three girls". Could this mean differently ?

Kudos [?]: 123 [1], given: 36

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 120

Kudos [?]: 43 [0], given: 15

GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 19:49
The question says "none of the three girls". Could this mean differently ?[/quote]

Ah, I missed that.
+1 to you.

Still, I think an official question will have a clearer language than this one.

Kudos [?]: 43 [0], given: 15

Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 331

Kudos [?]: 123 [0], given: 36

Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 07 Sep 2016, 20:01
Donnie84 wrote:
The question says "none of the three girls". Could this mean differently ?


Ah, I missed that.
+1 to you.

Still, I think an official question will have a clearer language than this one.[/quote]

It's true that this not in GMAT format since they have used "," instead of ".". Looks like European notation.

Kudos [?]: 123 [0], given: 36

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10712

Kudos [?]: 3779 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a [#permalink]

Show Tags

New post 04 Jan 2018, 14:58
Hi All,

We're given 3 girls and 2 boys and told to put them in a line. We're asked for the probability that none of the three girls will stand next to one another. This question can be approached in a number of different ways. Here's how you can use permutations and probability to get to the correct answer:

With 5 people, there are 5! = 120 possible arrangements. Lining up the 5 people, there's just one option for the 3 girls to NOT stand next to one another:

GBGBG = (3)(2)(2)(1)(1) = 12 options

Thus, the probability of the 3 girls NOT standing next to one another is 12/120 = 1/10 = 10% = .1

Final Answer:
[Reveal] Spoiler:
A


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3779 [0], given: 173

Re: Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a   [#permalink] 04 Jan 2018, 14:58
Display posts from previous: Sort by

Five people, Ada, Ben, Cathy, Dan, and Eliza, are lining up for a

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


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