<p>I applied for all the summer programs with the hopes that I'd go to two (ideally USAFA and USNA) and that they would sort of be like a college visit on steroids. On West Point's SLS registration form they give the option to deny, so if the acceptance forms are similar I think you should be OK. Also don't forget about Boys/Girls state if you qualify for that - it may be around the same time as the sessions you want.</p>
<p>I was accepted to both SS's, and denied USNA because I didn't have time to do both, and still received appointments to both. So you can do whatever you want.</p>