A palindrome number is one that reads the same both forwards and backwards- for instance. 797 or 44. How many palindromic numbers are there between:

a) 10 and 400
b) 10 and 1000

Thanks

what is a?

Sorry,

a) 10 and 400
b) 10 and 1000

im not sure im typing as i find them.

A=total of counting the numbers 11,22,33,44,55,66,77,88,99,101,202,303

B) = total counting the numbers
11,22,33,44,55,66,77,88,99,101,202,303,404,505,606,707,808,909

Mark is right, but for numbers of the form x0x, you can of course use any digit, not just zero, so

101

also implies

111, 121, 131,....

To find the number of palindromic numbers between two given ranges, we can follow these steps:

a) Counting the palindromic numbers between 10 and 400:
1. Start by identifying the smallest and largest palindromic numbers in the given range. The smallest palindromic number between 10 and 400 is 11, and the largest is 399.
2. Subtract the smallest palindromic number from the largest palindromic number: 399 - 11 = 388.
3. Add 1 to the result because we need to include both the smallest and largest palindromic numbers: 388 + 1 = 389.
Therefore, there are 389 palindromic numbers between 10 and 400.

b) Counting the palindromic numbers between 10 and 1000:
1. Again, identify the smallest and largest palindromic numbers in the given range. The smallest palindromic number between 10 and 1000 is 11, and the largest is 999.
2. Subtract the smallest palindromic number from the largest palindromic number: 999 - 11 = 988.
3. Add 1 to the result: 988 + 1 = 989.
Therefore, there are 989 palindromic numbers between 10 and 1000.