NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 19:47 It is currently 23 Apr 2024, 19:47
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In how many different ways can the letters in the word

User avatar
rlevochkin
Manager
Manager
Joined: 03 Nov 2005
Posts: 149
Own Kudos [?]: 109 [0]
Given Kudos: 17
Location: Chicago, IL
Send PM
In how many different ways can the letters in the word [#permalink] New post   19 Jan 2006, 11:54
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

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



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
allabout
Manager
Manager
Joined: 17 Dec 2005
Posts: 232
Own Kudos [?]: 74 [0]
Given Kudos: 0
Location: Germany
Send PM
Re: In how many different ways can the letters in the word [#permalink] New post   Updated on: 19 Jan 2006, 12:41
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.

Originally posted by allabout on 19 Jan 2006, 12:35.
Last edited by allabout on 19 Jan 2006, 12:41, edited 1 time in total.
User avatar
vivek123
Director
Director
Joined: 14 Dec 2004
Posts: 885
Own Kudos [?]: 992 [0]
Given Kudos: 0
Send PM
Re: In how many different ways can the letters in the word [#permalink] New post   19 Jan 2006, 12:39
LEVEL - itself represents 2! * 2! combinations.

So total possible combinations = 5!/(2!*2!) = 30
User avatar
ps_dahiya
VP
VP
Joined: 20 Nov 2005
Posts: 1490
Own Kudos [?]: 1133 [0]
Given Kudos: 0
Concentration: Strategy, Entrepreneurship
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
 Q50  V34
Send PM
Re: In how many different ways can the letters in the word [#permalink] New post   19 Jan 2006, 17:32
Total words = 5

Repeat word E (twice) and L (twice)

So = 5!/(2!*2!) = 30
User avatar
ywilfred
SVP
SVP
Joined: 07 Jul 2004
Posts: 2004
Own Kudos [?]: 1899 [0]
Given Kudos: 0
Location: Singapore
Send PM
Re: In how many different ways can the letters in the word [#permalink] New post   19 Jan 2006, 18:35
L - 2
E - 2
V - 1

Total number of ways = 5!/2!2! = 30
User avatar
sperumba
Manager
Manager
Joined: 13 Jun 2005
Posts: 173
Own Kudos [?]: 277 [0]
Given Kudos: 0
Location: Haverhill, MA
Send PM
Re: In how many different ways can the letters in the word [#permalink] New post   19 Jan 2006, 21:02
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



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: In how many different ways can the letters in the word [#permalink]
19 Jan 2006, 21:02
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions