In badminton, do right-handed players compete with left-handed players?

There must be! First of all, the game is not arranged, but decided by lottery! Nowadays, many left-handed badminton players will inevitably meet left and right in some competitions! There is also the popular left and right doubles, such as Cai Yun and Fu Haifeng, the men's doubles in our country! Among them, Cai holds the racket in his right hand and Fu holds the racket in his left hand!