5 letters, including two " I ", are arranged in the way that : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 03:46

### 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

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

# 5 letters, including two " I ", are arranged in the way that

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Senior Manager
Joined: 10 Dec 2004
Posts: 272
Followers: 2

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

5 letters, including two " I ", are arranged in the way that [#permalink]

### Show Tags

17 May 2005, 07:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

5 letters, including two " I ", are arranged in the way that two " I " is not next to each other. How many ways are possible?
VP
Joined: 30 Sep 2004
Posts: 1488
Location: Germany
Followers: 6

Kudos [?]: 327 [0], given: 0

### Show Tags

17 May 2005, 08:30
36...

total ways 5!/2! because two letters are the same

possible ways that two I are together 4!

5!/2! - 4!=36
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

VP
Joined: 30 Sep 2004
Posts: 1488
Location: Germany
Followers: 6

Kudos [?]: 327 [0], given: 0

### Show Tags

17 May 2005, 08:32
pb_india wrote:
4!*2!/2! = ?? how

you have 5 objects. regard the two I`s as one object. so you have 4 objetcs to order. you can do this in 4! ways.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Senior Manager
Joined: 10 Dec 2004
Posts: 272
Followers: 2

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

### Show Tags

17 May 2005, 11:21
total ways 5!/2! because two letters are the same

=> The letters are same but the objects are different. Right.
We should do 5! (total ways of arranging all 5 letters (or objects) - 4! = 72
Manager
Joined: 04 Mar 2005
Posts: 106
Location: NYC
Followers: 2

Kudos [?]: 4 [0], given: 0

### Show Tags

17 May 2005, 11:46
pb_india wrote:
total ways 5!/2! because two letters are the same

=> The letters are same but the objects are different. Right.
We should do 5! (total ways of arranging all 5 letters (or objects) - 4! = 72

It shld be 5!/2!
Let's say the 2 I's are Ia, Ib
Does IaIb contribute to a diffrent outcome from IbIa?No.
5! does this kind of double counting.
Which is why you need to divide 5! by 2!.
Manager
Joined: 27 Jul 2004
Posts: 85
Followers: 1

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

### Show Tags

17 May 2005, 19:25
Its is 4!*2!/2! because there are 2 I's that are changing positions with each other. Because here the order does not matter, you will have to divide by 2! in both the total cases (5!/2!) as well as in special case, where 2 I's are together (4!*2!/2!)
Director
Joined: 18 Feb 2005
Posts: 673
Followers: 1

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

### Show Tags

17 May 2005, 19:41
christoph wrote:
36...

total ways 5!/2! because two letters are the same

possible ways that two I are together 4!

5!/2! - 4!=36

This is correct It is 36
17 May 2005, 19:41
Display posts from previous: Sort by

# 5 letters, including two " I ", are arranged in the way that

 post reply 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®.