F. Noun + for: a Cheque for (a sum of money); a demand/ a need for ~; a reason for ~ (e.g. the train was late, but nobody knew the reason for the delay. (not reason of))
F1. Noun + of: an advantage/ a disadvantage of ~ but there is an advantage in (or to) doing something; a cause of ~; a photograph/ a picture/ a map/ a plan/ a drawing (etc.) of ~ (e.g. Rachel showed me some photographs of her family.
F2. Noun + in: an increase/ a decrease/ a rise/ a fall in (prices etc.) (e.g. There has been an increase in the number of road accidents recently.)
F3. Noun + to: damage to ~; an invitation to ~ (a party/ a wedding etc.); a solution to (a problem)/ a key to (door)/ an answer to (a question)/ a reply to (a letter)/ a reaction to ~; an attitude to ~ (or towards ~) (e.g. His attitude to his job is very negative. or His attitude towards his job ~)
F4. Noun + with ~/ between ~: a relationship/ a connection/ contact with ~ but a relationship/ a connection/ contact/ a difference between two things or people (e.g. The police believe that there is no connection between the two crimes.)