The palindromic numbers between 900 and 1900 are:
This is a total of 19 numbers.
Chat with our AI personalities
Oh, dude, there are like 10 palindromes between 900 and 1900. You've got numbers like 909, 929, 949... you get the idea. So, yeah, if you're into palindromes, there's a small bunch to play around with in that range.
To determine the number of palindromes between 900 and 1900, we need to consider the possible combinations of digits. A palindrome is a number that reads the same forwards and backwards. In this range, the hundreds digit can be any number from 1 to 9, while the tens and units digits can be any number from 0 to 9. Therefore, there are 9 possible choices for the hundreds digit and 10 choices for each of the tens and units digits, giving us a total of 9 x 10 x 10 = 900 palindromes between 900 and 1900.
Well, honey, between 900 and 1900, there are 34 palindromic numbers. So, grab a calculator and start counting, or just take my word for it and go enjoy a slice of pie instead.
-1000
There are 900 6-digit palindromes.
1900
900 This explains it. A positive integer is a palindrome if it reads the same forward and backwards such as 1287821 and 4554. Determine the number of 5-digit positive integers which are NOT palindromes. We start by counting the total number of 5 digit positive integers. The first digit is between 1 and 9, so we have 9 choices. Each of the other 4 digits can be anything at all (10 choices for each). This gives us 9(10)4 = 90000 five-digit positive integers. Now we need to count the number of 5 digit palindromes. Again, we have 9 choices for the first digit and 10 choices for each of the next two. The tens and units digits however are fixed by our choices so far. Therefore, there are only 900 five-digit palindromes. Therefore, the total number of five-digit positive integers which are not palindromes is 90000-900 = 89100.
1-digit: 9 2-digit: 9 3-digit: 9 x 10 = 90 4-digit: 9 x 10 = 90 5-digit: 9 x 10 x 10 = 900 6-digit: 9 x 10 x 10 = 900