1. (20 points) At the DMV, a computer system randomly assigns customers to one of ten service counters. An inspector notices that the system has not been calibrated to prioritize empty service counters, so each service counter is equally likely to receive a customer even if there are already customers there. At the start of the day, ten customers arrive at the DMV and the computer system randomly assigns them to service counters. What is the expected number of counters that will not be assigned a customer?