Microsoft Word - HW 1 - ECI 114.docx

There is a national civil engineering competition and I need to send 20 students to participate. However, the rules allow for teams of 4 students so I need to divide the students in 5 teams.

a) How many ways do I have to form the teams? b) Additionally, to increase the chances I would like to have some sort of hierarchy in the team. Therefore, I decided that a member from each team would be a boss, and each remaining student in the team would be the strategist, the planner, or the auditor. How many total ways could these teams be formed, assuming that students have already been assigned to the teams? c) What would change in your analyses, if you consider the problem as a sequence of steps? (Note, assign students, and then assign the roles)