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# How many 3-digit numbers satisfy the following conditions:

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Manager
Joined: 21 Dec 2005
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How many 3-digit numbers satisfy the following conditions: [#permalink]  08 Apr 2006, 15:09
How many 3-digit numbers satisfy the following conditions: The first digit is different from zero and the other digits are all different from each other?

Please explain!!!

Thanks
VP
Joined: 28 Mar 2006
Posts: 1383
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Kudos [?]: 20 [0], given: 0

[#permalink]  08 Apr 2006, 17:07
jodeci wrote:
trivikram wrote:
jodeci wrote:
Nope

648?

Explain please

1st place cannot be 0 so there are 9 ways to fill

2nd place can also have 9 places ('cos 1st place has taken away one of the #s from 1-9 so there are 8 #s left and there is also the "0")

For third place we have on;y 8 ways (since the #s are not to be repeated)

9*9*8 = 648ways
[#permalink] 08 Apr 2006, 17:07
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# How many 3-digit numbers satisfy the following conditions:

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