Back in 1994, a cashier found that he was often asked to give change for a dollar to people who had made no purchase but wanted 20 cents for a telephone call. He started thinking one day about the number of ways he could make change. If he gave no more than five of any type of coin, used no 50-cent pieces, and made sure that the person received coins to make exactly 20 cents for the phone call, in how many different ways could he give change for a dollar?