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

It is currently 02 Aug 2014, 01:24

Close

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
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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

1) if a monkey is given 11 letters that can form the word

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 04 Feb 2004
Posts: 28
Location: USA
Followers: 0

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

1) if a monkey is given 11 letters that can form the word [#permalink] New post 25 Apr 2005, 11:12
1) if a monkey is given 11 letters that can form the word "probability", what is the probability that the monkey will form the word "probability"?

2)A player selects six numbers from 1 to 49. What is the probability of picking the six winning numbers?

3) A typewriter has 48 keys (including space, numbers, etc). What is the probability that a baby, who strikes keys randomly, will correctly type the word "hamlet"?
VP
VP
avatar
Joined: 30 Sep 2004
Posts: 1493
Location: Germany
Followers: 4

Kudos [?]: 40 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Apr 2005, 11:41
1) 1/11!
2) 6!/(49*48*47*46*45*44)
3) 1/48^6

will explain if correct...
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

VP
VP
avatar
Joined: 30 Sep 2004
Posts: 1493
Location: Germany
Followers: 4

Kudos [?]: 40 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Apr 2005, 12:20
1) 1/(11!/2!*2!)

2) 1/(49c6) i assume that order does not matter. 123456=654321. but i think the question is not properly phrased.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Manager
Manager
avatar
Joined: 05 Feb 2005
Posts: 116
Location: San Jose
Followers: 1

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

 [#permalink] New post 25 Apr 2005, 13:02
1) 1/(11!/2!*2!) = 4/11!
Correct.

2) 1/(49c6) i assume that order does not matter. 123456=654321. but i think the question is not properly phrased.
Correct.

Hey, this is same as your previous answer:
1/49C6 = 6! x 43! / 49! = 6! / (49x48x47x46x45x44)

Your previous answer was also correct.
_________________

Anyone who has never made a mistake has never tried anything new. -Albert Einstein.

VP
VP
avatar
Joined: 30 Sep 2004
Posts: 1493
Location: Germany
Followers: 4

Kudos [?]: 40 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Apr 2005, 13:08
mckenna wrote:
1) 1/(11!/2!*2!) = 4/11!
Correct.

2) 1/(49c6) i assume that order does not matter. 123456=654321. but i think the question is not properly phrased.
Correct.

Hey, this is same as your previous answer:
1/49C6 = 6! x 43! / 49! = 6! / (49x48x47x46x45x44)

Your previous answer was also correct.


oh right ! too late here in germany :-D you can approach this problem with combination- as well as with permutation-reasoning...
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Intern
Intern
avatar
Joined: 04 Feb 2004
Posts: 28
Location: USA
Followers: 0

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

 [#permalink] New post 25 Apr 2005, 13:53
Can you guys explain 1?
VP
VP
avatar
Joined: 30 Sep 2004
Posts: 1493
Location: Germany
Followers: 4

Kudos [?]: 40 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Apr 2005, 14:19
rc1979 wrote:
Can you guys explain 1?


divide by 2! and 2! because there are 2 b`s and 2 `s. for example probabilty with the first b in 4th position and the second b in 6th position is 1 way and when you change the b`s you get a second way, but it is the same word. so you divide 2.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

VP
VP
User avatar
Joined: 13 Jun 2004
Posts: 1128
Location: London, UK
Schools: Tuck'08
Followers: 6

Kudos [?]: 21 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Apr 2005, 18:31
the number 2) was not so easy, but I got 4!/11! and 1/48^6

rc1979, christoph explained it well, there are 2 letters B (le'ts call it B1 and B2 for example)
Usually you have to work with permutation concerning words problems because order normally matters, in that case there will be no difference if you choose B1 or B2, it will be the same word whereas each B is considered as a specific letter. So you'll have twice more chances with B and it's the same idea for I.

finally, normally for a word with 11 different litters the prob will be 1/11! but since you have 2 repetitions of 2 letters, it will be 1*2*2/11!

Hope it will help you to figure it out...
VP
VP
User avatar
Joined: 25 Nov 2004
Posts: 1498
Followers: 5

Kudos [?]: 26 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Apr 2005, 19:04
mckenna wrote:
2) 1/(49c6) i assume that order does not matter. 123456=654321. but i think the question is not properly phrased.
Correct.

it is a permutation not a combiation problem. so it is
=1/(49P6)
  [#permalink] 25 Apr 2005, 19:04
    Similar topics Author Replies Last post
Similar
Topics:
2 How many words can be formed from the letters of the word amitdgr 7 19 Sep 2008, 01:19
How many different words can be formed with the letters of anirban16 2 19 Mar 2005, 08:16
1 If you have the letters LOCAL, how many words can you form rc1979 6 17 Mar 2005, 09:07
How many different four-letter words can be formed (the christoph 14 21 Feb 2005, 07:52
If you have the letters LOCAL, how many words can you form rc1979 9 19 Jan 2005, 19:15
Display posts from previous: Sort by

1) if a monkey is given 11 letters that can form the word

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.