I am a beginner at Obj-C/Cocoa Touch/iPhone OS.
I wish to have a background for my app with different images everytime the the view is called.
Say I have 10
Besides all of the other responses here, I really don't think that using backgroundColor in this way is the proper way to do things. Personally, I would create a UIImageView and insert it into your view hierarchy. You can either insert it into your top view and push it all the way to the back with sendSubviewToBack: or you can make the UIImageView the parent view.
I wouldn't worry about things like how efficient each implementation is at this point because unless you actually see an issue, it really doesn't matter. Your first priority for now should be writing code that you can understand and can easily be changed. Creating a UIColor to use as your background image isn't the clearest method of doing this.