Technically the 17R SE 7720 itself will allow up to 3 monitors
(Built-in Display and 2 External Displays) to be connected in either
Clone or Extended Mode and working all at once.
However, and this is the important part:
Without using Intel's WiDi technology (Drivers are available for the 17R SE 7720 in the Dell Driver Download Section) you'll be limited to using only 2 displays.
There are also suggestions about using a splitter, but, this (from my understanding) will duplicate the content where as I assume you want to use 3 monitors individually with unique content).
Source and more reading (recommended)
Also, check out http://www.notebookcheck.net/Intel-HD-Graphics-4000.69168.0.html as this claims the Intel HD Graphics 4000 has the ability:
Another new feature is the support for up to 3 independent displays (depends on how the HD 4000 is used in the laptop - maybe only with a DisplayPort / eDP) as AMD offers with theirs Eyefinity support (up to 6 displays).