1001 - 1991, etc = 10, x (2,3,4,5,6,7,8,9) 8 = 80
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To find the number of palindromic numbers between 1000 and 10000, we need to consider that a palindrome is a number that reads the same forwards and backwards. For a four-digit number to be palindromic, the first and last digits must be the same, and the middle two digits must be the same. Therefore, the total number of palindromic numbers between 1000 and 10000 is determined by the number of options for the first two digits (10 options, 1-9 excluding 0) and the last two digits (10 options as well). This gives us a total of 10 * 10 = 100 palindromic numbers between 1000 and 10000.
There are more 12-digit palindromic numbers than 11-digit palindromic numbers. This is because the number of possible 12-digit palindromic numbers is greater than the number of possible 11-digit palindromic numbers. In general, the number of palindromic numbers of length n is 9 * 10^((n-1)/2), so for 11-digit palindromic numbers, there are 9 * 10^5 = 900,000 possibilities, while for 12-digit palindromic numbers, there are 9 * 10^6 = 9,000,000 possibilities.
90
9
There are 900000 of them.