Put very simply I thought princeton offense avoided mid range shots and went for a mix of dunks (very high percentage inside shot) or 3 pointers (thus great shooters and range are needed in BB for PG, SG and SF but no inside shooting for them). Very very simplified but think that might help.
Run&Gun and Motion I thought were the same offense type in BB just that the speed was alot faster in R&G and thus if you are the favourite you should win as the number of shots taken is higher and the chance of bad luck over a run of say 20 shots is reduced compared to the whole match. A poorer team in a given match, conversly should try and slow the game down so less shots are taken. That's not well explained I know but is late. Hope you can follow the gyst though :-)