I'm trying to find out the number of 7 digit numbers that are palindromes. My method is this (don't laugh):

$\displaystyle \frac{9}{10}*(\frac{10!}{6!}+(\frac{4!}{3!1!}+\fra c{4!}{2!2!}+\frac{4!}{2!1!1!}+\frac{4!}{4!})*\frac {10!}{6!4!})=8883$

If the correct number is 9000, what am I doing wrong? All wrong?