Question 8 Consider a classroom with 8 students. They form teams consisting of 3 students each. Suppose a student can be member of multiple teams and no two teams are identical. Now there is an interesting condition, no 2 teams have exactly one student in common. Find the maximum number of teams that could be formed with proof. Also, find the total number of ways to form the maximum number of teams.
Added by Jeffrey R.
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Since there are 8 students and each team consists of 3 students, we can form a maximum of 8/3 = 2 teams. However, since we can have a student be a member of multiple teams, we can form more than 2 teams. Show more…
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