It was a predicament Peter Toth never expected to be in. After applying to the U.S. Air Force Academy, the U.S. Naval Academy and the U.S. Military Academy at West Point, the Barnegat High School senior figured he’d simply go to whatever military academy accepted him. He never dreamed he would be accepted into all three.

“I honestly couldn’t believe it,” said the 18-year-old. “I was shocked to hear back from them all.”

Getting accepted into just one military academy is a big achievement since it takes much more than submitting an application and having…