Depends on your specific situation, as to which of the following apply. But in general, a quick answer...
a.) External assumes you're testing from the outside ( beyond the corporate firewalls / routers, etc )
b.) nternal assumes you've got physical / local access to the network and machines being tested, and are testing from the perspective of someone on the inside of the corporate firewalls / routers.
Now, you could also be referring to the people performing the testing, in which case:
a.) External assumes you're paying someone from the outside (another company) to do the testing.
b.) Internal means you have someone on staff doing the testing.
~ hayabusa ~
"All men can see these tactics whereby I conquer,
but what none can see is the strategy out of which victory is evolved."
- Sun Tzu, 'The Art of War'
OSCE, OSCP (Former - GPEN, C|EH - both expiring / expired)