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

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Senior Manager
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How many four-digit numbers that do not contain the digits 3 [#permalink]

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New post 17 Jan 2006, 18:09
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A
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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
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New post 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
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 [#permalink]

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New post 17 Jan 2006, 18:31
lets just say you can do math today lhotseface.
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New post 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
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New post 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

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New post 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
  [#permalink] 18 Jan 2006, 07:01
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How many four-digit numbers that do not contain the digits 3

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