There are $13$ ping-pong players who will be divided into three teams, and they are going to have a men\textquotesingle s singles. The rule is that the players in the same team will not play with each other, and each of them only plays one game with each player in other teams. What is the maximum number of games happened in total? 
选项为:A:$$23$$  B:$$30$$  C:$$45$$  D:$$56$$  E:$$72$$  请回答其中一个选项.