Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Apr 2014, 15:53

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In how many different ways can the letters in the word

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
Joined: 03 Nov 2005
Posts: 400
Location: Chicago, IL
Followers: 3

Kudos [?]: 23 [0], given: 17

GMAT Tests User
In how many different ways can the letters in the word [#permalink] New post 19 Jan 2006, 10:54
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In how many different ways can the letters in the word "LEVEL" be arranged.
_________________

Hard work is the main determinant of success

Director
Director
Joined: 17 Dec 2005
Posts: 555
Location: Germany
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 Jan 2006, 11:35
edited

You've five letters; they can lead to 5! permutaions of whom some are double, namely those in which the placements E's and L's are counted twice. To get them out divide

5!/ 2!*2! = 30

The two 2's represent the ways the two letter can be arranged on theit respective places.

Last edited by allabout on 19 Jan 2006, 11:41, edited 1 time in total.
SVP
SVP
Joined: 14 Dec 2004
Posts: 1711
Followers: 1

Kudos [?]: 28 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 Jan 2006, 11:39
LEVEL - itself represents 2! * 2! combinations.

So total possible combinations = 5!/(2!*2!) = 30
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2924
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 13

Kudos [?]: 62 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 Jan 2006, 16:32
Total words = 5

Repeat word E (twice) and L (twice)

So = 5!/(2!*2!) = 30
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 5098
Location: Singapore
Followers: 15

Kudos [?]: 120 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 Jan 2006, 17:35
L - 2
E - 2
V - 1

Total number of ways = 5!/2!2! = 30
Senior Manager
Senior Manager
User avatar
Joined: 13 Jun 2005
Posts: 253
Location: Haverhill, MA
Followers: 1

Kudos [?]: 1 [0], given: 0

GMAT Tests User
 [#permalink] New post 19 Jan 2006, 20:02
Example: To find all permutations on A B C C
Answer: ABCC, ACBC, ACCB,
BACC, BCAC, BCCA,
CABC, CBAC, CBCA,
CACB, CCAB, CCBA
There are 12 orders, or 12 permutations in total.

P( permutation of n objects with n1 identical ones)

= n!/ n1!

Example of ABCC:
n = 4; (A,B,C,C)
n1= 2; (C,C)
n!/ n1! = 4! / 2! = (4 x 3 x 2 x 1)/ (2 x 1) = 12
  [#permalink] 19 Jan 2006, 20:02
    Similar topics Author Replies Last post
Similar
Topics:
Popular new posts In how many ways can the letters of the word EDUCATION be Antmavel 15 13 Mar 2005, 18:14
New posts How many different distinct ways can the letters in the word GMATT73 4 07 Oct 2005, 07:18
New posts How many different distinct ways can the letters in the word sudhagar 4 02 Nov 2005, 08:45
New posts In how many ways can the letters of the word ARRANGE be chillpill 5 12 Apr 2006, 19:12
New posts 1 In how many ways can the letters of the word logu 2 19 Jun 2008, 19:51
Display posts from previous: Sort by

In how many different ways can the letters in the word

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.