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# A distinct three-digit pin number is distributed to each

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Manager
Joined: 18 Nov 2004
Posts: 76

Kudos [?]: 4 [0], given: 0

A distinct three-digit pin number is distributed to each [#permalink]

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02 Dec 2004, 16:41
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Question Stats:

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

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A distinct three-digit pin number is distributed to each member of a video club. All digits 0-9 are allowed, and the digits can be repeated to create distinct pin numbers. If 327 pin numbers are not used, how many members belong to the video club?
A) 1000
B) 665
C) 673
D) 613
E) 402

The OA doesn't make sense, So, we need to go by whoever explains this clearly.

Kudos [?]: 4 [0], given: 0

Manager
Joined: 07 Nov 2004
Posts: 89

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

Location: London

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02 Dec 2004, 16:58
673

total number of possible pin numbers = 10^3 = 1000.
327 are not used, hence
number of video club members = 1000-327 = 673

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

Manager
Joined: 18 Nov 2004
Posts: 76

Kudos [?]: 4 [0], given: 0

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02 Dec 2004, 17:19
Stupid me!

I somehow complicated this question, and I was thinking that we are triple counting numbers such as 111, 222, 333, etc..
Which is not the case.

Kudos [?]: 4 [0], given: 0

02 Dec 2004, 17:19
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