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:
Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to pre-think assumptions and solve the most challenging questions in less than 2 minutes.
Re: In how many ways can a person post 5 letters in 4 letter box
[#permalink]
Show Tags
03 Feb 2013, 10:47
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, 09:45
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, 11:08.
Last edited by holidayhero on 04 Feb 2013, 09:45, 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, 23:58
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
04 Feb 2013, 00:04
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, 11:12
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.