Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 25 May 2013, 01:02
Customize  |  Hide

Search
Register
New posts
Unanswered

If a code word is defined to be a sequence of different

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
SVP
SVP
Joined: 21 Jul 2006
Posts: 1553
Followers: 6

Kudos [?]: 104 [0], given: 1

GMAT Tests User
If a code word is defined to be a sequence of different [#permalink] New post 14 Apr 2008, 13:09
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If a code word is defined to be a sequence of different letters chosen from the 10 letters A,B,C,D,E,F,G,H,I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?

a) 5 to 4
b) 3 to 2
c) 2 to 1
d) 5 to 1
e) 6 to 1



Would someone please show me how to solve this problem?
thanks
Director
Director
Joined: 10 Sep 2007
Posts: 958
Followers: 5

Kudos [?]: 152 [0], given: 0

GMAT Tests User
Re: PS: Ratios [#permalink] New post 14 Apr 2008, 13:28
Possibilities for 5 letter word = 10*9*8*7*6 (First letter can any one of 10, next can anyone of remaining 9, and so on)
Possibilities for 4 letter word = 10*9*8*7

Ratio = 10*9*8*7*6/10*9*8*7 = 6/1

Answer E.
Senior Manager
Senior Manager
Joined: 29 Jan 2007
Posts: 455
Location: Earth
Followers: 2

Kudos [?]: 36 [0], given: 0

GMAT Tests User
Re: PS: Ratios [#permalink] New post 14 Apr 2008, 17:27
That was cool Abhijit.

I got the answer different way that is more convoluted in a way

I did it like this

Number of ways = (5! * 10C5)/(4! * 10C4)
SVP
SVP
Joined: 28 Dec 2005
Posts: 1612
Followers: 1

Kudos [?]: 53 [0], given: 2

GMAT Tests User
Re: PS: Ratios [#permalink] New post 14 Apr 2008, 17:30
do we assume no repitition here ?
Director
Director
Joined: 10 Sep 2007
Posts: 958
Followers: 5

Kudos [?]: 152 [0], given: 0

GMAT Tests User
Re: PS: Ratios [#permalink] New post 14 Apr 2008, 18:07
pmenon wrote:
do we assume no repitition here ?

Repetition is always mentioned in the question, by default assume all questions to be non-repetition cases.
Re: PS: Ratios   [#permalink] 14 Apr 2008, 18:07
    Similar topics Author Replies Last post
Similar
Topics:
 New posts If a code word is defined to be a sequence of different M8 3 25 Apr 2006, 12:21
New posts If a code word is defined to be a sequence of different GMATCUBS21 6 23 Jun 2006, 15:35
New posts If a code word is defined to be a sequence of different gmatornot 4 23 Aug 2006, 20:36
New posts If a code word is defined to be a sequence of different goalsnr 3 01 Jun 2008, 13:22
New posts If a code word is defined to be a sequence of different Nihit 3 19 Sep 2008, 10:25
Display posts from previous: Sort by

If a code word is defined to be a sequence of different

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com