A palindrome is a number that reads the same forward and backward, such as 343. How many odd, 8-digit numbers are palindromes?
Choose the correct choice.
A) 4000  B) 4500  C) 5055  D) 5000  E) 2500

Rationale: "first recognize you only need to consider the first four digits ( because the second four are just the first four flipped ) there are 9000 possibilities for the first four digits of a 8 digit number , 1000 - 9999 inclusive . everything starting with a 1 , 3,5 , 7,9 will be odd , which is 5 / 9 ths of the combinations . 5 / 9 * 9000 = 5000 answer : d"
Answer: D