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

 It is currently 03 May 2015, 02:23

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# ON how many ways can the letters of the word

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Manager
Joined: 23 Mar 2008
Posts: 221
Followers: 2

Kudos [?]: 37 [0], given: 0

ON how many ways can the letters of the word [#permalink]  17 Aug 2008, 01:52
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
ON how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 406

Kudos [?]: 2140 [0], given: 359

Re: PS: combinatorics [#permalink]  17 Aug 2008, 02:40
Expert's post
vowels - o,u,e (no repetitions)
consonants - c,m,p,t,r (no repetitions)

patterns: cvcvcvcc, cccvcvcv, cvcccvcv, cvcvcccv - four possibilities ($$C_3^4$$)

the total number: $$N=C_3^4*P_3^3*P_5^5=4*6*120=2880$$
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Manager
Joined: 27 May 2008
Posts: 143
Followers: 1

Kudos [?]: 12 [0], given: 0

Re: PS: combinatorics [#permalink]  17 Aug 2008, 03:16
Alr8 here's my way

There are 4 even positions; the three vowels (O, E, U) can select 3 out of 4 of these positions in 4C3 ways. The three vowels thn can arrange themselves in 3! ways. The rest of the 5 consonants can occupy the rest of the five position in 5C5 ways and arrange themselves in 5C5*5! ways.
Total no. of ways = 4c3*3!*5c5*5! = 4*6*120 = 2880
Re: PS: combinatorics   [#permalink] 17 Aug 2008, 03:16
Similar topics Replies Last post
Similar
Topics:
16 In how many ways can the letters of the word PERMUTATIONS be 16 17 May 2010, 13:01
5 In how many ways can the letters of the word PERMUTATIONS be 7 26 Mar 2008, 16:13
In how many ways can the letters of the word ARRANGE be 5 12 Apr 2006, 19:12
In how many different ways can the letters in the word 5 19 Jan 2006, 10:54
In how many ways can the letters of the word double be 5 31 May 2005, 22:40
Display posts from previous: Sort by

# ON how many ways can the letters of the word

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.