It is currently 22 Oct 2017, 19:59

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

One red bottle and three blue bottles are to be arranged in a straight

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41912

Kudos [?]: 129370 [0], given: 12197

One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 26 Dec 2016, 11:09
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

74% (00:32) correct 26% (00:10) wrong based on 92 sessions

HideShow timer Statistics

One red bottle and three blue bottles are to be arranged in a straight line from left to right on a windowsill. How many different unique arrangements are possible?

A. 12
B. 6
C. 4
D. 3
E. 1
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 129370 [0], given: 12197

Intern
Intern
avatar
Joined: 23 Oct 2014
Posts: 13

Kudos [?]: 3 [0], given: 31

Re: One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 02 Jan 2017, 10:32
4!/3!
4
So the answer should be C

Kudos [?]: 3 [0], given: 31

Manager
Manager
avatar
G
Joined: 04 Jan 2016
Posts: 161

Kudos [?]: 71 [0], given: 419

Location: Afganistan
GMAT 1: 620 Q44 V32
GMAT 2: 600 Q48 V25
GMAT 3: 660 Q42 V39
GPA: 3.48
GMAT ToolKit User Premium Member
Re: One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 21 May 2017, 12:38
It is 4.

It like arranging rbbb =\(\frac{4!}{3!}\)=4

Kudos [?]: 71 [0], given: 419

Intern
Intern
avatar
B
Joined: 13 Jul 2017
Posts: 29

Kudos [?]: 0 [0], given: 18

One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 24 Aug 2017, 05:08
Since there are 4 slot and only one color is unique that is red so we can place at 4 different places
c is the option
4

Kudos [?]: 0 [0], given: 18

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1471

Kudos [?]: 598 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 24 Aug 2017, 10:19
Let the blue bottles be denoted by B and the red bottle be denoted by R

There are 4 combinations possible
BBBR
BBRB
BRBB
RBBB
(Option C)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 598 [0], given: 16

Intern
Intern
avatar
B
Joined: 15 Feb 2017
Posts: 11

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

Re: One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 24 Aug 2017, 13:01
Can someone explain this in terms of permutations?

I thought this is a permutations question where order matters. And the formula for permutations is Total!/Exclude!

Thanks!

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

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1471

Kudos [?]: 598 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 24 Aug 2017, 19:44
1
This post was
BOOKMARKED
tittoo wrote:
Can someone explain this in terms of permutations?

I thought this is a permutations question where order matters. And the formula for permutations is Total!/Exclude!

Thanks!



Hi tittoo,

This is a question of arrangement, where n items need to be arranged and c items are similar

The general formula for this is \(\frac{n!}{c!}\)

Hope that helps!
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 598 [0], given: 16

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1655

Kudos [?]: 852 [0], given: 3

Location: United States (CA)
Re: One red bottle and three blue bottles are to be arranged in a straight [#permalink]

Show Tags

New post 29 Aug 2017, 16:15
Bunuel wrote:
One red bottle and three blue bottles are to be arranged in a straight line from left to right on a windowsill. How many different unique arrangements are possible?

A. 12
B. 6
C. 4
D. 3
E. 1


This is a permutation with indistinguishable items problem.

Since there are a total of 4 bottles, in which 3 of them are indistinguishable blue bottles, we can arrange the bottles in 4!/(3!) = 4 ways.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 852 [0], given: 3

Re: One red bottle and three blue bottles are to be arranged in a straight   [#permalink] 29 Aug 2017, 16:15
Display posts from previous: Sort by

One red bottle and three blue bottles are to be arranged in a straight

  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®.