mp3 Shuffling

When a mp3 is on shuffle, after a song ends the mp3 player will choose a song at random and play it, the mp3 will not play the same song twice in a row.

Yan Yau has 10 distinct songs on his mp3. One day he goes on his mp3 and listens to 5 song on shuffle. The probability that all the songs he listened to are distinct can be expressed as $\frac mn$ where $m$ and $n$ are positive coprime integers. Find the value of $\left\lfloor \frac{m+n}{1000}\right\rfloor$ .

Details and Assumptions

$\left\lfloor x\right\rfloor$ is the floor function. $\left\lfloor x\right\rfloor$ Is the largest integer not greater than $x$ . For example: $\left\lfloor 3\right\rfloor = 3$ , $\left\lfloor 5.8\right\rfloor =$ , $\left\lfloor \pi \right\rfloor = 3$