Školjka

%V0 Given $n$ countries with three representatives each, $m$ committees $A(1),A(2), \ldots, A(m)$ are called a cycle if (i) each committee has $n$ members, one from each country; (ii) no two committees have the same membership; (iii) for $i = 1, 2, \ldots,m$, committee $A(i)$ and committee $A(i + 1)$ have no member in common, where $A(m + 1)$ denotes $A(1);$ (iv) if $1 < |i - j| < m - 1,$ then committees $A(i)$ and $A(j)$ have at least one member in common. Is it possible to have a cycle of 1990 committees with 11 countries?