It is currently 19 Sep 2019, 00:16
My Tests

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.

In how many ways can the letters of the word MAXIMA be arran

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8120
Followers: 157

Kudos [?]: 1700 [0], given: 7473

CAT Tests
In how many ways can the letters of the word MAXIMA be arran [#permalink] New post 14 May 2019, 00:36
Expert's post
00:00

Question Stats:

42% (01:00) correct 57% (00:45) wrong based on 7 sessions
In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all consonants are together?

(A) 12

(B) 18

(C) 30

(D) 36

(E) 42
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

Manager
Manager
User avatar
Joined: 22 Jun 2019
Posts: 133
Followers: 0

Kudos [?]: 14 [0], given: 46

Re: In how many ways can the letters of the word MAXIMA be arran [#permalink] New post 12 Aug 2019, 05:32
NEED EXPLANATION?
2 KUDOS received
Director
Director
Joined: 20 Apr 2016
Posts: 994
WE: Engineering (Energy and Utilities)
Followers: 14

Kudos [?]: 789 [2] , given: 168

CAT Tests
Re: In how many ways can the letters of the word MAXIMA be arran [#permalink] New post 12 Aug 2019, 07:23
2
This post received
KUDOS
Carcass wrote:
In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all consonants are together?

(A) 12

(B) 18

(C) 30

(D) 36

(E) 42


Here,

Let arrange the words in vowels and consonants

Vowels:: AIA

consonants : MXM

Vowels can be arranged in = \(\frac{(3!)}{(2!)} = 3\) (it is divided by 2! since vowel A repeats twice)

Similarly, consonants can be arranged = \(\frac{(3!)}{(2!)} = 3\) (it is divided by 2! since consonants I repeats twice)

Now, these arrangement can be arranged in 2 ways::

V V V C C C
OR
C C C V V V

Hence, the number of ways it can be arranged = \(2 * 3 * 3 = 18\) ways
_________________

If you found this post useful, please let me know by pressing the Kudos Button


Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

1 KUDOS received
Manager
Manager
Joined: 22 Aug 2019
Posts: 59
Followers: 0

Kudos [?]: 30 [1] , given: 8

CAT Tests
Re: In how many ways can the letters of the word MAXIMA be arran [#permalink] New post 22 Aug 2019, 16:53
1
This post received
KUDOS
Carcass wrote:
In how many ways can the letters of the word MAXIMA be arranged such that all vowels are together and all consonants are together?

(A) 12

(B) 18

(C) 30

(D) 36

(E) 42


Another way you can do the problem if you just want to think about it is we have two groups of 3 letters that need to be next to each other. This can be arranged into two ways (vowels first or consonants first) then each group has 2 repeats. by looking at the form (ABA) we see there are only 3 positions that B can take.

Now we have 2*3*3 = 18.

Probably best to remember the formulas though.

With
Re: In how many ways can the letters of the word MAXIMA be arran   [#permalink] 22 Aug 2019, 16:53
Display posts from previous: Sort by

In how many ways can the letters of the word MAXIMA be arran

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.