Robin and lan are sitting down to play a friendly game. Each time they play Robin might win, lan might win, or the game might end in a draw $($nobody wins$).$ They agree to repeatedly play the game until one of the following happens: Robin wins $1$ game, there are $2$ draws in a row, or $3$ games have been played. How many different sequences of game results are possible?

A$.13$

B$.17$

c$.11$

D$.14$

E$.16$