Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 May 2015, 11:48

### 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 one post 5 letters in 10 different

Author Message
TAGS:
Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

In how many ways can one post 5 letters in 10 different [#permalink]  25 Jan 2004, 16:08
In how many ways can one post 5 letters in 10 different letter boxes?

100000
9765625
15
50
27
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Director
Joined: 13 Nov 2003
Posts: 793
Location: BULGARIA
Followers: 1

Kudos [?]: 27 [0], given: 0

Any of the letters we can post in 10 ways so 5 letters can be posted in 10^5
Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

sunniboy007 wrote:
:cool

Just an extension of the problem. In how many ways can one post 5 letters in 10 different letter boxes if no more than one letter should be posted in the same letter box?
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

sunniboy007 wrote:
:cool

Hey Sunnyboy,

I think the answer should be 5^10 which is second choice. Are you sure that the official answer is 100000?

Thanks
Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

Ofcourse sono sicuro che ├и la risposta
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

sunniboy007 wrote:
Ofcourse sono sicuro che ├и la risposta

I do not understand what you wrote. What is the answer?
Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

I said, Of course I am sure that 100000 is the correct answer.
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

sunniboy007 wrote:
I said, Of course I am sure that 100000 is the correct answer.

Ok try to draw similarity with this problem. How many different values can 3 bits represent if each bit has two possible values?
Manager
Joined: 25 Jan 2004
Posts: 92
Location: China
Followers: 1

Kudos [?]: 2 [0], given: 0

Once you post a letter in a box, you cant use the letter posted in the calculation.

This problem sounds more or like #partitions of a number.

Find #non-negative integer solutions of the following eqn.

k1 + k2 + .... + k10 = 5

GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 52 [0], given: 0

gmatblast wrote:
sunniboy007 wrote:
:cool

Just an extension of the problem. In how many ways can one post 5 letters in 10 different letter boxes if no more than one letter should be posted in the same letter box?

think this way. You have 10 choices for the first letter, then 9 choices for the second letter, the 8 choices for the third letter.

Hence, you have 10*9*8*7*6 = 30240.

This can also be thought of as an "arrangement" or "permutation" problem.

How many ways can you assign a mailbox number to 5 different letters without repeating from a choice of 10 numbers. 10P5 = 10!/5! = same solution as above.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Similar topics Replies Last post
Similar
Topics:
2 In how many different ways can the letters of the word 6 23 Sep 2014, 03:41
3 In how many ways can a person post 5 letters in 4 letter box 6 03 Feb 2013, 05:11
1 In how many different ways can the letters of the world 2 17 Jun 2008, 09:05
6 In how many different ways can trhee letters be posted from 10 10 Nov 2007, 12:00
In how many different ways can the letters in the word 5 19 Jan 2006, 10:54
Display posts from previous: Sort by