Every ten there is a nine in the ones place, therefore there are 100 nines in the ones place.
Every hundred there are 10 nines in the tens place, therefore add 10 * 10 nines. eg 90, 91, 92, 93, ... in the tens place
Every thousand there are 100 nines in the hundreds place, therefore add 100 nines.
Total is 300.
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There are 17 palindromes between 1 and 1000 that are divisible by 11
There are 31 perfect square numbers between 1 and 1000 (including 1).
There are 107 numerical palindromes between the numbers 1 and 1000, starting from 2 to 999.
500
168