discrete mathematics problem that needs to be programmed

I would like some help programming this problem in preferrably C++ however Java works too. Here it goes: An English professor wishes to form groups of four from here class of 20 students on five separate days. To ensure fairness, she does not want any pairs of students to be in the same group twice. **This problem has been solved and I will attach the answer of way of solving, if you send an e-mail request. I have a deadline to have it done by the April 12, 2002. Please help me my grade depends upon this extra credit program. I ca ## Deliverables Complete and fully-functional working program(s) in executable form as well as complete source code of all work done. Explanations within code of how each method works. Please explain throughly how this works. Complete copyrights to all work purchased. ## Platform Program will need to run on a Windows 2000 platform. C++ use Microsoft Visual C++ to develop. For Java please use Code Warrior or J++. Thanks ## Deadline information This project need to be completed by April 12, 2002. If the project is completed sooner and I am very much satisfied I will include a bonus.