One Database vs. Multiple Databases
Solution 1:
I would make separate databases, because otherwise, if each client is using a similar schema, you're going to either have to combine tables or use lots of prefixes, or have link tables containing client identifying information. In addition, it will be much easier to manage backups/restores of client data if they have their own DBs.
There's really no good reason not to use separate DBs, IMO.
Solution 2:
One downside of seperate db's is rolling out schema changes; if you have a couple hundred db's, be prepared to find a clever way to push new tables, stored procedures, indexes for upgrades to them. Another downside is mirroring becomes less attractive for a DR solution as the number of db's grows.