In how many ways can a person post 5 letters in 4 letter box : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 10:17

### 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

# In how many ways can a person post 5 letters in 4 letter box

Author Message
TAGS:

### Hide Tags

BSchool Forum Moderator
Joined: 27 Aug 2012
Posts: 1196
Followers: 129

Kudos [?]: 1457 [0], given: 142

In how many ways can a person post 5 letters in 4 letter box [#permalink]

### Show Tags

03 Feb 2013, 05:11
00:00

Difficulty:

(N/A)

Question Stats:

75% (01:17) correct 25% (00:27) wrong based on 30 sessions

### HideShow timer Statistics

In how many ways can a person post 5 letters in 4 letter boxes ?

(A) 480
(B) 1024
(C) 54
(D) 4^5
(E) 5^5

Bunuel- can you please explain in detail ?
_________________
Director
Joined: 24 Aug 2009
Posts: 506
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 17

Kudos [?]: 674 [2] , given: 276

Re: In how many ways can a person post 5 letters in 4 letter box [#permalink]

### Show Tags

03 Feb 2013, 09:47
2
KUDOS
debayan222 wrote:
1.In how many ways can a person post 5 letters in 4 letter boxes ?

(A) 480
(B) 1024
(C) 54
(D) 4^5
(E) 5^5

Bunuel- can you please explain in detail ?

There are 4 places (ABCD) that need to be filled.
Letter 1 can be posted in either A, B, C, or D i.e. 4 ways
Letter 2 can be posted in either A, B, C, or D i.e. 4 ways
Letter 3 can be posted in either A, B, C, or D i.e. 4 ways
Letter 4 can be posted in either A, B, C, or D i.e. 4 ways
Letter 5 can be posted in either A, B, C, or D i.e. 4 ways

So the total no of ways in which 5 letters can be posted in 4 boxes are = 4 x 4 x 4 x 4 x 4 = 4 ^ 5

Hope it helps.
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Current Student
Joined: 02 Jan 2013
Posts: 57
GMAT 1: 750 Q51 V40
GPA: 3.2
WE: Consulting (Consulting)
Followers: 0

Kudos [?]: 52 [1] , given: 2

Re: In how many ways can a person post 5 letters in 4 letter box [#permalink]

### Show Tags

03 Feb 2013, 06:55
1
KUDOS
Something is up with this question. Options (B) and (D) are exactly the same.

In my opinion, the correct solution for this is:

Arrange the 5 items in 4 different "baskets":
xxxxx|||

Total of 8!/(5!*3!) = 8.7 = 56

Now we can order these 5 items among themselves: 5! = 120 ways

Answer = 56*120 = 6720 IMO
Intern
Joined: 08 Feb 2011
Posts: 11
Followers: 1

Kudos [?]: 10 [0], given: 9

### Show Tags

03 Feb 2013, 10:08
Thanks Fameatop (1+)
After reading the problem again and realizing what the question was asking, your logic makes perfect sense.

Is caioguima's approach incorrect because we are counting certain letter box combos multiple times when we multiply by 5!?
Would caioguima's method be correct if the order of the letters in the boxes mattered?

Thanks to vips and debayan as well

Last edited by holidayhero on 04 Feb 2013, 08:45, edited 3 times in total.
Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 647
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 46

Kudos [?]: 545 [0], given: 23

Re: In how many ways can a person post 5 letters in 4 letter box [#permalink]

### Show Tags

03 Feb 2013, 10:17
debayan222 wrote:
1.In how many ways can a person post 5 letters in 4 letter boxes ?

(A) 480
(B) 1024
(C) 54
(D) 4^5
(E) 5^5

Bunuel- can you please explain in detail ?

Fameatop got it right.

For each letter the person has 4 options.
Thus 4*4*4*4*4=4^5=1024

Ans b and d are both correct. (Dude don't mind but watch for the source)
_________________

Lets Kudos!!!
Black Friday Debrief

BSchool Forum Moderator
Joined: 27 Aug 2012
Posts: 1196
Followers: 129

Kudos [?]: 1457 [0], given: 142

Re: In how many ways can a person post 5 letters in 4 letter box [#permalink]

### Show Tags

03 Feb 2013, 22:58
fameatop wrote:
debayan222 wrote:
1.In how many ways can a person post 5 letters in 4 letter boxes ?

(A) 480
(B) 1024
(C) 54
(D) 4^5
(E) 5^5

Bunuel- can you please explain in detail ?

There are 4 places (ABCD) that need to be filled.
Letter 1 can be posted in either A, B, C, or D i.e. 4 ways
Letter 2 can be posted in either A, B, C, or D i.e. 4 ways
Letter 3 can be posted in either A, B, C, or D i.e. 4 ways
Letter 4 can be posted in either A, B, C, or D i.e. 4 ways
Letter 5 can be posted in either A, B, C, or D i.e. 4 ways

So the total no of ways in which 5 letters can be posted in 4 boxes are = 4 x 4 x 4 x 4 x 4 = 4 ^ 5

Hope it helps.

fameatop-You're correct...!Honestly I was having confusion with this...but it appears really easy
_________________
BSchool Forum Moderator
Joined: 27 Aug 2012
Posts: 1196
Followers: 129

Kudos [?]: 1457 [0], given: 142

Re: In how many ways can a person post 5 letters in 4 letter box [#permalink]

### Show Tags

03 Feb 2013, 23:04
Vips0000 wrote:
debayan222 wrote:
1.In how many ways can a person post 5 letters in 4 letter boxes ?

(A) 480
(B) 1024
(C) 54
(D) 4^5
(E) 5^5

Bunuel- can you please explain in detail ?

Fameatop got it right.

For each letter the person has 4 options.
Thus 4*4*4*4*4=4^5=1024

Ans b and d are both correct. (Dude don't mind but watch for the source)

Vips0000-You got it too...!
And the source-it's one of the questions in IIM CAT materials of a CAT prep companies...unfortunately it's due to lack of proof-reading you know !

Not much we can do dude but just to point it out...
_________________
Re: In how many ways can a person post 5 letters in 4 letter box   [#permalink] 03 Feb 2013, 23:04
Similar topics Replies Last post
Similar
Topics:
39 In how many ways can 3 letters out of 5 distinct letters A 22 18 Nov 2011, 00:39
How many ways can a selection be done of 5 letters out of 5 2 11 Jul 2011, 22:21
1 In how many ways can the letters in PRECISION be arranged? 4 23 Feb 2010, 14:39
7 In how many ways can the letters of the word PERMUTATIONS be 7 26 Mar 2008, 16:13
10 In how many different ways can trhee letters be posted from 11 10 Nov 2007, 12:00
Display posts from previous: Sort by