You work for a university that has a secret mathematics lab. To gain access to this lab the university issues secret shares. Shares are issued to students, faculty and deans in such a way that, to open the lab requires either (i) 2 students, or

(ii) 3 faculty members, or (iii) 6 deans, or (iv) 1 student, 1 faculty member and 1 dean. Carefully describe how shares should be issued to students, faculty and deans to fulfill the requirement described. You are not constructing a scheme, nor do not need to construct shares, just tell how many shares are needed to open the lab, that is, how many shares should each student get, how many does each faculty member get and how many does each dean get to satisfy the requirements given above for opening the lab.