It is currently 24 Jun 2017, 02:05

### 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

# How many different 4 digit numbers can be composed of digits

Author Message
Director
Joined: 18 Jul 2006
Posts: 524
How many different 4 digit numbers can be composed of digits [#permalink]

### Show Tags

23 May 2007, 00:23
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:11) correct 0% (00:00) wrong based on 3 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many different 4 digit numbers can be composed of digits 0,2 and 3?

A. 48
B. 54
C. 64
D. 72
E. 81
VP
Joined: 08 Jun 2005
Posts: 1145

### Show Tags

23 May 2007, 01:32
to form a 4 digits number out of 0,2,3 we have 54 possible ways:

The first place can only be 2,3 !

the second, third, forth place can be 0,2,3

firstly = 2 (for the first number i.e 2,3)*3! (all the others) = 12

In addition we can have 2,2,2 & 3,3,3 & 0,0,0 as second, third and forth place.

so 2*3 = 6

finally thare are 0,2,2 & 0,3,3 & 3,2,2 & 3,0,0 & 2,3,3 & 2,0,0

total = 2 (for 2,3) *6 (arrangements) *3 (ways to arrange i.e 0,2,2 & 2,0,2 & 2,2,0)= 36

----------------------

total = 36+6+12 = 54

23 May 2007, 01:32
Display posts from previous: Sort by