Hello,
Indeed, you could program this using an event structure, and there are also many other ways to program it. If you want to keep away from the trickiness of programming with event structures, a possible solution is the one I show in the attached VI, which is in LabVIEW version 7.0 (I hope you can open it; if not, I am also attaching an image). What I do there is create an array of the boolean buttons, then use the search 1d array function to search for a "true" value. If it is found, then the corresponding case of the case structure is executed. I think this is what you need, but let me know if it isn't.