Question 27
A positive integer $n$ is *clowny* if the number obtained by reversing its digits is greater than $n$. For example, $2009$ is clowny because $9002$ is greater than $2009$; however, $2010$ is not clowny because $0102 = 102$ is less than $2010$ and $3443$ is not clowny because it is equal to the number obtained by reversing its digits. How many four-digit numbers are clowny?