That just means that 17 billion years is not a sufficiently long finite period of time. What about 17 billion billion billion years?
In fact, the article says that the number of combinations is like 10^62. SO, how about a finite period of 10^70 years? That is a long time. But it is not infinite.
Yes, but our universe has only been around for 17 Billion years. You'll have to work within that time period for any finite-time-based theory such as Evolution.