Noun + for ...

• The company closed down because there wasn't enough demand for its product.
• There's no excuse for behaviour like that. There's no need for it.

• The train was late, but nobody knew the reason for the delay. (not reason of)

Noun + of...

• The advantage of living alone is that you can do what you like.

• There are many advantages in living alone. or ... many advantages to living alone.

• The cause of the explosion is unknown.

• Rachel showed me some pictures of her family.
• I had a map of the town, so I was able to find my way around.

Noun + in ...

• There has been an increase in the number of road accidents recently.
• Last year was a bad one for the company. There was a big fall in sales.

Noun + to...

• The accident was my fault, so I had to pay for the damage to the other car.

• Did you get an invitation to the party?

• I hope we find a solution to the problem. (not a solution of the problem)
• I was surprised at her reaction to my suggestion.

• His attitude to his job is very negative. or His attitude towards his job ...

Noun + with ... / between ...

• Do you have a good relationship with your parents?
• The police want to question a man in connection with the robbery.

• The police believe that there is no connection between the two crimes.
• There are some differences between British and American English.