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

It is currently 14 Oct 2019, 03:44

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

In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58313
In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages  [#permalink]

Show Tags

New post 29 Jan 2018, 05:44
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:09) correct 19% (00:46) wrong based on 77 sessions

HideShow timer Statistics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3335
Location: India
GPA: 3.12
In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages  [#permalink]

Show Tags

New post 29 Jan 2018, 06:08
Bunuel wrote:
In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages if the cats must be in the second, fourth, and sixth cages?

A. 12
B. 18
C. 36
D. 72
E. 720



The arrangement of the cats in the cages will be as follows
D C D C D C

The three cats can be arranged in 3! ways
Similarly, the 3 dogs can be arranged in 3! ways

Therefore, the total ways the pets can be lined up is \(3!*3! = 6*6\) = 36(Option C)
_________________
You've got what it takes, but it will take everything you've got
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages  [#permalink]

Show Tags

New post 29 Jan 2018, 07:00
Bunuel wrote:
In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages if the cats must be in the second, fourth, and sixth cages?

A. 12
B. 18
C. 36
D. 72
E. 720


The cages for the cats are fixed however the order of cats in those cages may vary in 3! ways

The cages for the Gods are fixed (remaining cages after cats are closed in respective cages) however the order of dogs in those cages may vary in 3! ways

Hence total favorable ways to arrange cats and dogs in cages = 3!*3! = 36

Answer: Option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Director
Director
User avatar
D
Joined: 28 Jul 2016
Posts: 597
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)
Reviews Badge CAT Tests
Re: In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages  [#permalink]

Show Tags

New post 29 Jan 2018, 11:19
Total combinations = 3!*3!
6*6 = 36
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages  [#permalink]

Show Tags

New post 30 Jan 2018, 11:19
Bunuel wrote:
In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages if the cats must be in the second, fourth, and sixth cages?

A. 12
B. 18
C. 36
D. 72
E. 720


Our arrangement must be as follows:

D - C - D - C - D - C

For the first cage, we have 3 possibilities because there are 3 available dogs for the first cage. For the second cage, we have 3 possibilities for the 3 available cats. For the third cage, we have 2 available dogs (because one dog was already placed in the first cage). Similarly, for the fourth cage, we have 2 available cats. Finally, for the fifth cage, we have the one remaining dog, and for the sixth cage, the one remaining cat. .

So, the number of ways to arrange the animals is 3 x 3 x 2 x 2 x 1 x 1 = 36.

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
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.

GMAT Club Bot
Re: In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages   [#permalink] 30 Jan 2018, 11:19
Display posts from previous: Sort by

In how many ways can a pet shop line up 3 cats and 3 dogs in 6 cages

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne