The Attorney Regulation Counsel shall maintain and supervise a permanent office, hereinafter referred to as the Office of Attorney Admissions, to serve as a central office for (a) the filing and processing of all applications for admission, certification, and other authorization to practice law in Colorado; (b) the administration of the Colorado bar examination; (c) the investigation of all applicants’ character and fitness; and d) the certification to the Supreme Court of applicants’ qualifications to practice law in Colorado. The Attorney Regulation Counsel shall administer all attorney admission functions as part of a budget approved by the Supreme Court.