GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jan 2019, 20:57

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# How many different 4 letter combinations can be created from the lette

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 29 Apr 2015
Posts: 841
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

09 Aug 2015, 11:00
3
10
00:00

Difficulty:

65% (hard)

Question Stats:

34% (00:48) correct 66% (00:36) wrong based on 172 sessions

### HideShow timer Statistics

How many different 4 letter combinations can be created from the letters A,B,C, and D?

A. 4
B. 8
C. 12
D. 24
E. 256

_________________

Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.

CEO
Joined: 20 Mar 2014
Posts: 2636
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

09 Aug 2015, 12:19
1
reto wrote:
How many different 4 letter combinations can be created from the letters A,B,C, and D?

A. 4
B. 8
C. 12
D. 24
E. 256

This is a case of number of arrangements possible with repetition.

Thus you have 4 options each for the 1st,2nd,3rd and 4th letter giving you a total of 4*4*4*4 = 256 number of possible combinations.
Manager
Joined: 20 Jul 2011
Posts: 80
GMAT 1: 660 Q49 V31
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

10 Aug 2015, 06:44
reto wrote:
How many different 4 letter combinations can be created from the letters A,B,C, and D?

A. 4
B. 8
C. 12
D. 24
E. 256

They are asking for different combinations, hence A, B, C and D can be used again.

Thus, First letter can be chosen in 4 ways, second in 4 ways, third in 4 ways and fourth letter in 4 ways.

=> 4* 4 * 4 * 4 => 256 ways

Option E
Manager
Joined: 08 May 2015
Posts: 97
GMAT 1: 630 Q39 V38
GMAT 2: 670 Q44 V38
GMAT 3: 750 Q49 V44
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

11 Aug 2015, 11:24
In case you were not sure about using "4*4*4*4=256", you could eliminate A, B, C and D by calculating the numbers without repetition "4!=24". You know that there will be more than 24 (because you can repeat numbers), so the only possible answer will be "E".
Intern
Joined: 07 May 2015
Posts: 16
Location: India
GPA: 3.5
WE: Information Technology (Computer Software)
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

12 Aug 2015, 09:19
I have a doubt here when in question it is mentioning "different 4 letter combinations" then why we are repeating the letter in answering the question ? Thanks in Advance
CEO
Joined: 20 Mar 2014
Posts: 2636
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

12 Aug 2015, 09:28
nitinagg29 wrote:
I have a doubt here when in question it is mentioning "different 4 letter combinations" then why we are repeating the letter in answering the question ? Thanks in Advance

"different" here simply means to capture all the possible combinations. AAAA and BBBB are still considered valid under this assumption and are thus counted as 2 separate arrangments.
Manager
Joined: 10 Jun 2015
Posts: 118
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

13 Aug 2015, 07:23
reto wrote:
How many different 4 letter combinations can be created from the letters A,B,C, and D?

A. 4
B. 8
C. 12
D. 24
E. 256

There are four places and each place can take any of the four letters.
Therefore, 4x4x4x4 = 256 combinations
Non-Human User
Joined: 09 Sep 2013
Posts: 9449
Re: How many different 4 letter combinations can be created from the lette  [#permalink]

### Show Tags

05 Aug 2018, 11:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: How many different 4 letter combinations can be created from the lette &nbs [#permalink] 05 Aug 2018, 11:17
Display posts from previous: Sort by