[quote=Webmaster]
_*_*_*_One space for each digit.How many numbers can potentially be in the first space? Seven, since 9009 won't be included.7*_*_*_How many in the second? Ten, zero included.7*10*_*_How many in the third? It's a palindrome, so it has to match the other. Only one digit.7*10*1*_Same as before.7*10*1*170Therefore, there are seventy palindrome numbers between 2,000 and 9,000. This was in my summer probability segment of my college courses.
[/quote]

I actually had to do that for a math contest once. Math Olympiad, I think it was called. That was the easiest question on that test.