The main purpose of the selection among candidates as for the choosing side is to capture the useful one actually and not the most popular one. Let us consider the situation that we choose the athletes for Olympic game. If we choose multiple ones, how to choose is very difficult since we hope them to win as the gold medal due to huge money to send them to the Olympic game, but from athletes side, if they are not selected, then they may lose their role as athletes after 4 years and so they hope to be selected to the current Olympic game. Though selection to Olympic game includes many research theme of mathematical selection rules. We first briefly review our previous research related to this topic and propose a new selection rules for multiple choice among many alternatives and discuss the limitation of our rules and further research problems.