Yup, we know they're not all officers. We have enlisted ranks mentioned, enlisted crew uniforms in the movies and of course Chief O'Brien.
By my reckinging ships need:
Captain, XO (who may or may not also hold another position), CScO, CMO, CEO, & CSeO. Presumably they have have one crewman for each shift so 3 helmsmen, 3 navigators, 3 Comms Officers, 2 more doctors, 4 engineering officers (I've assumed that engineering is the most populous and important department), 2 more security officers and an assistant CEO. The chief nurse seems to be an officer, although not all nursing staff need be. So that's 25, but then we also have junior science officers, so it looks like the Enterprise does have a lot more officers than a modern day vessel. Too many chiefs and not enough indians if you ask me!
Don't overestimate the amount of automation though. The Enterprise still had chefs, janitors, and staff to man hydroponics.
By my reckinging ships need:
Captain, XO (who may or may not also hold another position), CScO, CMO, CEO, & CSeO. Presumably they have have one crewman for each shift so 3 helmsmen, 3 navigators, 3 Comms Officers, 2 more doctors, 4 engineering officers (I've assumed that engineering is the most populous and important department), 2 more security officers and an assistant CEO. The chief nurse seems to be an officer, although not all nursing staff need be. So that's 25, but then we also have junior science officers, so it looks like the Enterprise does have a lot more officers than a modern day vessel. Too many chiefs and not enough indians if you ask me!
Don't overestimate the amount of automation though. The Enterprise still had chefs, janitors, and staff to man hydroponics.