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

It is currently 16 Apr 2014, 02:17

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

How many integers between 3000 and 4000 that have distinct

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
Joined: 03 Aug 2013
Posts: 15
Followers: 1

Kudos [?]: 9 [1] , given: 45

How many integers between 3000 and 4000 that have distinct [#permalink] New post 05 Sep 2013, 21:58
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

44% (02:44) correct 56% (02:00) wrong based on 25 sessions
How many integers between 3000 and 4000 that have distinct digits and increase from left to right ?

(A) 20
(B) 48
(C) 60
(D) 120
(E) 600

My answer doesn't match with the OA :cry: so BUNUEL, NARENN, VERTITASKARISHMA, ZARRALOU, I am calling for your help :!: :!: :!: :!: :!: :!: :!:
[Reveal] Spoiler: OA
2 KUDOS received
Intern
Intern
Joined: 31 Jan 2013
Posts: 17
Schools: ISB '15
WE: Consulting (Energy and Utilities)
Followers: 0

Kudos [?]: 12 [2] , given: 18

Re: How many integers between 3000 & 4000 having distinct digits [#permalink] New post 05 Sep 2013, 22:54
2
This post received
KUDOS
Since the numbers must be distinct and increasing from left to right,

The only arrangements we could come-up with are:

345_ --> 4
346_ --> 3
347_ --> 2
348_ --> 1
356_ --> 3
357_ --> 2
358_ --> 1
367_ --> 2
368_ --> 1
378_ --> 1

Number of integers =
[Reveal] Spoiler:
20


/SW
1 KUDOS received
Intern
Intern
Joined: 13 Jan 2013
Posts: 7
Followers: 0

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

Re: How many integers between 3000 and 4000 that have distinct [#permalink] New post 06 Sep 2013, 14:52
1
This post received
KUDOS
Your number is 3***
You have 0 1 2 3 4 5 6 7 8 9; So eliminate 0 1 2 3; Remain S = {4, 5, 6, 7, 8, 9} (6 digits)
Because you need 3 distinct digits which increase from left to right, take 3 digits from S.
With 3 digits which increase from left to right : only one way to arrange; Ex: 468 (not 486)
It means: 6C3 = 6!/[3!x(6 - 3)!] = 6!/[3!x3!] = 4 x 5 x 6 / 3! = 4 x 5 = 20.
So the answer is A.
Re: How many integers between 3000 and 4000 that have distinct   [#permalink] 06 Sep 2013, 14:52
    Similar topics Author Replies Last post
Similar
Topics:
New posts How many integers are there between 2840 and 7980 that have allabout 2 25 Jan 2006, 10:44
New posts How many integers between 234700 and 458600 have tens digit apollo168 5 04 Sep 2006, 04:58
New posts If N is an odd integer between 2 and 30, how many distinct ArvGMAT 8 24 Jul 2007, 21:40
New posts HOw many integers between 324700 and 458600 have tens 1 and puma 1 15 Jun 2008, 09:25
New posts How many integers between 324,700 and 458,600 have tens amitdgr 2 01 Nov 2008, 09:52
Display posts from previous: Sort by

How many integers between 3000 and 4000 that have distinct

  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®.