You have to select your phone then go to the apps section. Make sure that the ones you want are checked before syncing. Note: if you buy a new app, it should automatically sync it. for existing apps you'll have to check their checkboxes.

Hello,
Don't use the tree view. Go to your phone, make sure the tree view is colosed, but that you have actually selected your phone. Then keep tabbing. You will find a bunch of radio buttons. Press space on apps, and they'll all be there. You can choose which ones to sync by checking them and unchecking the ones you don't want, and then going to file and sync. make sure the sync apps checkbox is checked.

Well, I wonder what were to happen, if I sent an application to someone who had an iOS device, and the application was not free, would it work? Would iTunes recognize as an application that was not purchased?

Hi,
This will only work if you have the same library and don't have seperate user accounts on the pc. Each account has it's own itunes library (i am not talking about apple ID, I am talking about the actual p) and if you use the same account, you can sync apps between devices as it believes they're yours.
It's hard to explain much clearer than that.