Abstract: This is a matter of drawing a universal series {ek} of p distinct characters ek from a set En of n characters {ek}. Players input personal series of p distinct characters {Sk} which are collected and stored and p successive elementary draws are carried out, each of a first and of a single character ek, from p sets respectively each formed of n characters without those drawn in all the previous elementary draws ek. The system includes means for inputting, collecting and storing the series of characters (18, 20) and for game entry (19), these means being connected to an operational control centre (100). Means (105, 15) for commanding the removal of characters are also provided.