  An important result of Bilu deals with the equidistribution of the Galois
orbits of a sequence $(\alpha_n)_n$ in $\overline{\mathbb{Q}}^*$. Here, we
prove a quantitative equidistribution theorem for a sequence of finite subsets
in $\overline{\mathbb{Q}}^*$ which are not necessarily stable by Galois action.
We follow a method of Mignotte.
