Firstly, if someone got SS can that person study fulltime ?
Secondly, if I got my PR on the basis of visa 176 do I have to live in that state? Is it necessary?
which state's sponsorship is easy to get? And can one move out of that state after living for two years?Yes, you can study full time as a PR.
Yes you must live in the state, they (the State) will ask for documentation regarding this in the first two years. Unless it has been impossible to find work in that State and you find it in another state you may ask for permission to move to the State for work.
176 is there for a reason and that is to get needed skilled people into the State, if people could just move to any state after getting it then there would no point of the 176 visa (that is what the 175 is for).