Y by Adventure10, Mango247
In a school there are 2008 students. Students are members of certain committees. A committee has at most 1004 members and every two students join a common committee.
(a) Determine the smallest possible number of committees in the school.
(b) If it is further required that the union of any two committees consists of at most 1800 students, will your answer in (a) still hold?
(a) Determine the smallest possible number of committees in the school.
(b) If it is further required that the union of any two committees consists of at most 1800 students, will your answer in (a) still hold?