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.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.

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.

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

Show Tags

03 Feb 2013, 09:47

3

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

Thus the answer is D

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

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

Show Tags

Updated on: 04 Feb 2013, 08:45

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

Originally posted by holidayhero on 03 Feb 2013, 10:08.
Last edited by holidayhero on 04 Feb 2013, 08:45, edited 3 times in total.

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

Thus the answer is D

Hope it helps.

fameatop-You're correct...!Honestly I was having confusion with this...but it appears really easy
_________________

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]

Show Tags

08 May 2018, 10:12

I need help in my thought process: why dont be solve it by slot method

- - - - for four letter box. and then , 1st place has 5 letters tro choose from then 2nd letter box had 4 letters to choose from? 5*4*3*2 ? Please help me clear this doubt.