College admission matching problem Colleges' spots available and students' rankings: East State (2 spots): 1. Alice 2. Bob 3. Carol 4. Daniel West State (1 spot): 1. Alice 2. Bob 3. Carol 4. Daniel State U (1 spot): 1. Carol 2. Alice 3. Bob 4. Daniel Students' college preferences: Alice: 1. State U 2. East State 3. West State Bob: 1. West State 2. East State 3. State U Carol: 1. East State 2. State U 3. West State Daniel: 1. East State 2. West State 3. State U 2. Find a match that each college strictly prefers