Question 79
A group of 10 students takes part in a mathematics competition made up of teams of 4 students. We know that any two of the teams have exactly one student in common.
a) What is the maximum number of teams that a student can belong to? Give an example of a distribution of the 10 students in which this maximum number is attained.
b) Can the competition have 8 teams?
a) What is the maximum number of teams that a student can belong to? Give an example of a distribution of the 10 students in which this maximum number is attained.
b) Can the competition have 8 teams?