A palindrome is a number that reads the same forward and backward, such as 787. How many even, 8-digit numbers are palindromes?
Choose the correct choice from the following answers.
A) 4055 B) 4500 C) 5000 D) 9000 E) 4000
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 2,4,6,8 will be odd, which is 4/9ths of the combinations.   4/9*9000= 
<gadget id="calculator">4/9*9000</gadget>
<output>4_000</output>
4000   ANSW4000R:4000
<result>E</result>
A palindrome is a number that reads the same forward and backward, such as 787. How many even, 8-digit numbers are palindromes?