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

It is currently 23 Aug 2014, 11:52

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

How many words can be formed by taking 4 letters at a time

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 21 Mar 2004
Posts: 445
Location: Cary,NC
Followers: 2

Kudos [?]: 6 [0], given: 0

GMAT Tests User
How many words can be formed by taking 4 letters at a time [#permalink] New post 13 Jun 2005, 07:42
How many words can be formed by taking 4 letters at a time of the letters of the word MATHEMATICS ?

A. 2448
B. 2450
C. 2451
D. 2452
E. 2454
_________________

ash
________________________
I'm crossing the bridge.........

Senior Manager
Senior Manager
avatar
Joined: 30 May 2005
Posts: 374
Followers: 1

Kudos [?]: 5 [0], given: 0

GMAT Tests User
 [#permalink] New post 13 Jun 2005, 09:30
MATHEMATICS has 2Ms,2As,2Ts and HEICS

For four-letter words( :lol: ), the possiblities are

a) 2 same of one kind, 2 same of another kind
b) 2 same, 2 different
c) all 4 different

For a), we have to pick 2 out of the three repeaters and then arrange them. When you have 2 pairs of letters to be put in 4 spaces, all you need is the number of ways to select 2 spaces.

C(3,2)*C(4,2) = 18

For b), We have to pick 1 out of the three repeaters and 2 out of the remaining 7 and arrange them. To arrange a pair plus two unique things, we just need to pick 2 out of 4 spaces and note that the remaining two can switch places.

C(3,1)*C(7,2)*C(4,2)*2 = 3*21*6*2=756

For c), we just have to arrange 4 out of 8 unique letters.

P(8,4) = 1680

Total = 18+756+1680 = 2454

E is the answer
Senior Manager
Senior Manager
User avatar
Joined: 21 Mar 2004
Posts: 445
Location: Cary,NC
Followers: 2

Kudos [?]: 6 [0], given: 0

GMAT Tests User
 [#permalink] New post 13 Jun 2005, 19:11
OA is E.........2454
_________________

ash
________________________
I'm crossing the bridge.........

Manager
Manager
avatar
Joined: 28 Aug 2004
Posts: 205
Followers: 1

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

GMAT Tests User
 [#permalink] New post 13 Jun 2005, 21:40
good explanation AJB!
  [#permalink] 13 Jun 2005, 21:40
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic How many words of 4 letters can be formed from the word "MED samcot 13 13 Sep 2011, 09:08
8 Experts publish their posts in the topic How many words can be formed by taking 4 letters at a time jatt86 13 14 Apr 2010, 04:33
2 How many words can be formed from the letters of the word amitdgr 7 19 Sep 2008, 01:19
How many different words can be formed with the letters of anirban16 2 19 Mar 2005, 08:16
How many different four-letter words can be formed (the christoph 14 21 Feb 2005, 07:52
Display posts from previous: Sort by

How many words can be formed by taking 4 letters at a time

  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®.