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# How many four-digit numbers that do not contain the digits 3

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Senior Manager
Joined: 13 Jun 2005
Posts: 252
Location: Haverhill, MA
How many four-digit numbers that do not contain the digits 3 [#permalink]

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17 Jan 2006, 18:09
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:18) correct 0% (00:00) wrong based on 3 sessions

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How many four-digit numbers that do not contain the digits 3 or 6 are there?

a) 2401
b) 3584
c) 4096
d) 5040
e) 7200
VP
Joined: 20 Sep 2005
Posts: 1017

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17 Jan 2006, 18:21
7*8*8*8 = 3584.

The first number can't be 0...I used to make this mistake before GMATCLUB.

If that is not the right answer, I am not doing quant today .
Senior Manager
Joined: 13 Jun 2005
Posts: 252
Location: Haverhill, MA

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17 Jan 2006, 18:31
lets just say you can do math today lhotseface.
Senior Manager
Joined: 05 Jan 2006
Posts: 381

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18 Jan 2006, 00:55
8*8*8*8 = 64*8 = 512*8 = 4096!

Opps messed up should be
7 * 8 * 8 * 8

good one.... where can I get lot of such fun questions!
CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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18 Jan 2006, 02:28
All other digits other than thousand's digit can have eight (Except 3 and 6) values and thousand's can have seven (Except 0,3,6) values.
So ANS is
7 * 8 * 8 * 8 = 3584
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

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18 Jan 2006, 07:01
Assume the 4 digit number is represented by abcd.

a - we can use 1,2,4,5,7,8,9 -> 7 numbers
b,c,d - 0,1,2,4,5,7,8,9 -> 8 numbers

Total number of ways = 7 * 8^3
18 Jan 2006, 07:01
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