NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 01:04 It is currently 25 Apr 2024, 01:04
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A company has assigned a distinct 3-digit code number to

avatar
albany09
Intern
Intern
Joined: 03 Oct 2008
Posts: 45
Own Kudos [?]: 193 [0]
Given Kudos: 0
Send PM
A company has assigned a distinct 3-digit code number to [#permalink] New post   06 Oct 2008, 07:31
A company has assigned a distinct 3-digit code number to each of its 330 employees. Each code number was formed from the digits

2, 3, 4, 5, 6, 7, 8, 9

and no digit appears more than once in any one code number. How many unassigned code numbers are there?

A. 6
B. 58
C. 174
D. 182
E. 399



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
devilmirror
Manager
Manager
Joined: 04 Jan 2006
Posts: 102
Own Kudos [?]: 98 [0]
Given Kudos: 0
Send PM
Re: A company has assigned a distinct 3-digit code number to [#permalink] New post   06 Oct 2008, 12:49
albany09 wrote:
A company has assigned a distinct 3-digit code number to each of its 330 employees. Each code number was formed from the digits

2, 3, 4, 5, 6, 7, 8, 9

and no digit appears more than once in any one code number. How many unassigned code numbers are there?

A. 6
B. 58
C. 174
D. 182
E. 399


Possible code number = P(8,3) = 8! / (8 - 3)! = 8 x 7 x 6 = 336 numbers

The number of unassigned code = 336 - 330 = 6

The answer is A.
User avatar
GMAT TIGER
VP
VP
Joined: 29 Aug 2007
Posts: 1021
Own Kudos [?]: 1726 [0]
Given Kudos: 19
Send PM
Re: A company has assigned a distinct 3-digit code number to [#permalink] New post   06 Oct 2008, 14:59
devilmirror wrote:
albany09 wrote:
A company has assigned a distinct 3-digit code number to each of its 330 employees. Each code number was formed from the digits

2, 3, 4, 5, 6, 7, 8, 9

and no digit appears more than once in any one code number. How many unassigned code numbers are there?

A. 6
B. 58
C. 174
D. 182
E. 399


Possible code number = P(8,3) = 8! / (8 - 3)! = 8 x 7 x 6 = 336 numbers

The number of unassigned code = 336 - 330 = 6

The answer is A.


A. exactly.

= 8c3 x 3!
=336
so the remaining = 336 - 330
= 6
User avatar
spiridon
Senior Manager
Senior Manager
Joined: 04 Aug 2008
Posts: 274
Own Kudos [?]: 124 [0]
Given Kudos: 1
Send PM
Re: A company has assigned a distinct 3-digit code number to [#permalink] New post   06 Oct 2008, 15:08
isnt this a permutation?

3P8=8*7*6=336... etc
User avatar
LiveStronger
Manager
Manager
Joined: 21 Apr 2008
Posts: 114
Own Kudos [?]: 294 [0]
Given Kudos: 0
Location: Motortown
Send PM
Re: A company has assigned a distinct 3-digit code number to [#permalink] New post   06 Oct 2008, 15:52
Since the order matters (234 is different from 342, 423 etc)

8P3 - 300 = 6
User avatar
scthakur
Director
Director
Joined: 17 Jun 2008
Posts: 614
Own Kudos [?]: 444 [0]
Given Kudos: 0
Send PM
Re: A company has assigned a distinct 3-digit code number to [#permalink] New post   07 Oct 2008, 03:55
Irrespective of permutation of combination, my approach is the following:

hundred's place can be occupied by 8 digits. Thus, only 7 digits are remaining for 10's place and only 6 remaining for unit's place (as no digit can repeat).

Hence, total possible codes = 8*7*6 = 336 and subtracting 300 from this will give 6.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: A company has assigned a distinct 3-digit code number to [#permalink]
07 Oct 2008, 03:55
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions