Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 10:47

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 03 Oct 2008
Posts: 62
Followers: 0

Kudos [?]: 30 [0], given: 0

A company has assigned a distinct 3-digit code number to [#permalink]

### Show Tags

06 Oct 2008, 07:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Senior Manager
Joined: 04 Jan 2006
Posts: 279
Followers: 1

Kudos [?]: 38 [0], given: 0

Re: math problem [#permalink]

### Show Tags

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.
SVP
Joined: 29 Aug 2007
Posts: 2476
Followers: 70

Kudos [?]: 774 [0], given: 19

Re: math problem [#permalink]

### Show Tags

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
_________________

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html
Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Senior Manager
Joined: 04 Aug 2008
Posts: 375
Followers: 5

Kudos [?]: 34 [0], given: 1

Re: math problem [#permalink]

### Show Tags

06 Oct 2008, 15:08
isnt this a permutation?

3P8=8*7*6=336... etc
_________________

The one who flies is worthy. The one who is worthy flies. The one who doesn't fly isn't worthy

Senior Manager
Joined: 21 Apr 2008
Posts: 269
Location: Motortown
Followers: 2

Kudos [?]: 150 [0], given: 0

Re: math problem [#permalink]

### Show Tags

06 Oct 2008, 15:52
Since the order matters (234 is different from 342, 423 etc)

8P3 - 300 = 6
SVP
Joined: 17 Jun 2008
Posts: 1553
Followers: 11

Kudos [?]: 264 [0], given: 0

Re: math problem [#permalink]

### Show Tags

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.
Re: math problem   [#permalink] 07 Oct 2008, 03:55
Display posts from previous: Sort by

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

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.