Can a Mac Mini drive three monitors?

Alot depends on what Mac Mini you have. Early Mac Minis only had a single DVI out, later versions had mini DVI out, still newer versions had a mini DVI and a mini DisplayPort out, and the newest all metal version has a mini DisplayPort and HDMI out and comes with an HDMI to DVI adapter.

Negrino was correct in saying that you could get a USB to DVI adapter but you might only have to get one of them, depending on your Mac Mini's video out ports. If you have an early G4 or Core Solo Mini, you would have to get 2 adapters.

For a little clarification, are you planning on mirroring your desktop 3 times or having 1 desktop extended over 3 monitors? If it is the first option then you could simply get a VGA or DVI Y adapter that would mirror the image coming out of one port to 2 or more monitors.

I have exactly the setup you describe, with a 2010 Mac Mini, with three Samsung 245BWs even. The same setup will work with a 2011 Mini as well. Just don't get anything older.

In my rig, one monitor is connected to the Mini's mini-DisplayPort port (with a mini-Displayport to HDMI cable), one is connected to the Mini's HDMI port (with an HDMI-DVI adapter), and the third is connected using a DisplayLink USB dongle of dubious Chinese manufacture.

All three run at the monitor's default 1920x1200 resolution. The two 'real' connections are fast and great for video and games, but the USB one is noticeably slower for video, so I deliberately use that one for e-mail, web, iTunes, and all those other 'on the side' applications.

The same would work with a 2011 (current) Mini, just sub in "Thunderbolt port" for mini-DisplayPort above.

When choosing a USB/HDMI adaptor, the key word you want is DisplayLink, and you must watch the specs VERY closely to be sure that 1920x1200 is supported. Many only work up to 1080, which is not quite enough. It took me three tries.

You can use the Mac Mini's built-in Mini DisplayPort port for one monitor, and use a USB to DVI adapter like the $99 unit from IOGEAR for each of the other two. That may not be financially attractive, of course. There are several other units from other manufacturers that also claim to do the job, so shop around.

If the Samsung monitors have HDMI ports, you might be able to use the Mac Mini's HDMI output with them. Or possibly use an HDMI to DVI adapter.