What fraction of seven lettered words formed using the : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 11 Dec 2016, 07:34
GMAT Club Tests

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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What fraction of seven lettered words formed using the

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 31 Oct 2012
Posts: 2
Followers: 0

Kudos [?]: 3 [0], given: 0

What fraction of seven lettered words formed using the [#permalink]

Show Tags

New post 02 Nov 2012, 13:37
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (02:06) correct 15% (01:03) wrong based on 71 sessions

HideShow timer Statistics

What fraction of seven lettered words formed using the letters of the words CLASSIC will have the two C's always together?

A) 2/7
B) 5/7
C) 15/19
D) 4/19
E) 2/8
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Nov 2012, 13:42, edited 1 time in total.
Renamed the topic.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35951
Followers: 6869

Kudos [?]: 90147 [0], given: 10419

Re: What fraction of seven lettered words formed using the [#permalink]

Show Tags

New post 02 Nov 2012, 13:48
Expert's post
1
This post was
BOOKMARKED
ememem wrote:
What fraction of seven lettered words formed using the letters of the words CLASSIC will have the two C's always together?

A) 2/7
B) 5/7
C) 15/19
D) 4/19
E) 2/8


The number of arrangements of CLASSIC is 7!/(2!2!) (permutations of 7 letters out of which 2 C's and 2 S's are identical).

The number of arrangements when C's are together. Consider two C's as one unit: {CC}{L}{A}{S}{S}{I}. The number of arrangements of these 6 units out of which two units (two S's are identical) is 6!/2!.

Therefore the answer is (6!/2!)/(7!/(2!2!))=2/7.

Answer: A.

Hope it's clear.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Please pay attention to the rule #3. Thank you.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: What fraction of seven lettered words formed using the   [#permalink] 02 Nov 2012, 13:48
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic We are required to form different words with the help of letters of techiesam 2 08 May 2016, 07:14
9 Experts publish their posts in the topic How many 5 letter words ( with or without meaning) can be formed using AryamaDuttaSaikia 8 05 Oct 2015, 02:43
13 Experts publish their posts in the topic How many 5-letter words can be formed using the letters of the English Bunuel 12 19 Aug 2015, 00:25
12 Experts publish their posts in the topic How many words can be formed using all the letters of "EQUAT cyberjadugar 10 16 Jun 2012, 19:38
24 Experts publish their posts in the topic How many words can be formed by taking 4 letters at a time jatt86 18 14 Apr 2010, 04:33
Display posts from previous: Sort by

What fraction of seven lettered words formed using the

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| 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®.