Question 174
In the drama club of a high school, 14 groups of 4 students were formed in order to work on the scenes of a play. Two different groups always have exactly one student in common.
a) Prove that there is a student who belongs to at least 5 groups.
b) Every student of the drama club is a member of at least one group. How many students are there in the club?
a) Prove that there is a student who belongs to at least 5 groups.
b) Every student of the drama club is a member of at least one group. How many students are there in the club?