What are the pros and cons of frameless and faceframe cabinet designs?
The particle board cabinets are cheap. If you ever have a leak in the sink they swell up and start falling apart in a very short time. The cabinets that are made out of particleboard usually do have the hinges screwed into the face when the particle board breaks there is no way to really fix it to look good (without repainting /or a new veneer- Cut the damaged area out put in new wood and a reinforcement on the back side). 
The cheap particle board cabinets will look nice for a while but not last like plywood. Several weeks ago I was in a house that I helped remodel over 35 years ago with my father. These are solid plywood with birch or oak veneer, My aunt said they did have to replace the hinges (self closer) as they had worn out. They also sanded and added a new coat of varnish. the cabinets look great other than being "style dated". I know over the years I have removed quite a few bathrooms and kitchen cabinets that had gotten wet that were made out of particle board. There have been a few that the owners just wanted all new looks that were plywood (many of these I used in my shop &amp; friends garages). If durability is a concern don't even think of particle board. if you have Pre-teens don't even think of particle board. If you are an older couple (no kids at home) and the budget is more of a concern Particle board may be ok. This is my opinion others may disagree but I rarely see 20+ year old bathroom cabinets out of particle board and many times the "sink area" in kitchens has been damaged in much less time.