1097
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Oh, dude, palindromic numbers are like those cool numbers that read the same forwards and backwards, right? So, between 1000 and 10000, you've got numbers like 1001, 1111, 1221... and so on. There are like 90 of them in total. So, like, that's your answer.
999
243
If you think about the digits, you can rewrite them as ABBA, with A being one digit and B being another: A can be 1-9 and B can be 0-9. Since A has to be 1, B can be 0-9, leaving 10 palindromic numbers.
A palindromic number is a number that remains the same when its digits are reversed. Between 1000 and 2000, the possible palindromic numbers have the form "ABBA" where A and B are digits from 1 to 9. There are 9 options for A (1-9) and 10 options for B (0-9), but we exclude the case where A is 0. Therefore, there are 9 * 10 = 90 palindromic numbers between 1000 and 2000.