MathDB

The

25

member states of the European Union set up a committee with the following rules: 1) the committee should meet daily; 2) at each meeting, at least one member should be represented; 3) at any two different meetings, a different set of member states should be represented; 4) at

n^{th}

meeting, for every

k<n

, the set of states represented should include at least one state that was represented at the

k^{th}

meeting.
For how many days can the committee have its meetings?

Problem Statement