Six black balls, three white balls and five gray balls are arranged side by side, indicating a cycle 14 balls. 2008 divided by 14 equals 143.

That is to say, a * * * circulation 143 times six balls.

143×6=858 has 143 black balls.

The remaining six are the first six balls of a new cycle, and the first six balls of each cycle are black balls. So the remaining six balls are all black balls.

So there are 858+6=864 black balls.