Usage patterns
打順を組むto set/arrange the batting order
The manager set today's batting order.
打順が回ってくるfor one's turn at bat to come around
His turn at bat came around in the ninth inning.
打順を入れ替えるto swap/change the batting order
The manager changed the batting order partway through the game.
〈数〉番打順the nth spot in the batting order
He was entrusted with the cleanup (4th) spot in the batting order.