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# From 100 to 999, how many integers do not include 2 nor 5

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CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 926 [0], given: 781

From 100 to 999, how many integers do not include 2 nor 5 [#permalink]

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18 Dec 2003, 07:00
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From 100 to 999, how many integers do not include 2
nor 5 in the digit?

any non brute force approaches?

Kudos [?]: 926 [0], given: 781

Intern
Joined: 27 Nov 2003
Posts: 33

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

Location: Moscow

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18 Dec 2003, 07:51
Is it 7*8*8?

Possibilities for the first digit: 1,3,4,6,7,8,9 = 7 variations
For the second and third digit: 0,1,3,,4,6,7,8,9 = 8 variations
_________________

me

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

Director
Joined: 28 Oct 2003
Posts: 501

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

Location: 55405

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18 Dec 2003, 13:40
Anvar must be right-- seems like a pretty simple question.

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

Intern
Joined: 22 Nov 2003
Posts: 41

Kudos [?]: 5 [0], given: 0

Location: Serbia

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18 Dec 2003, 14:53
Titleist wrote:
I agree! 7*8*9=448

I am sure that you thought 7*8*8 ....

Kudos [?]: 5 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 582

Kudos [?]: 59 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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18 Dec 2003, 14:57
Yes-thanks for pointing that out!

Kudos [?]: 59 [0], given: 0

18 Dec 2003, 14:57
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