1 way to pick the 4th batter, the best hitter. 1 way to pick the 9th batter, the pitcher. 7 ways to pick the 1st batter. 6 ways to pick the 2nd batter. 5 ways to pick the 3rd batter. 4 ways to pick the 5th batter. 3 ways to pick the 6th batter. 2 ways to pick the 7th batter. 1 way to pick the 8th batter. 1 = 7! = 5040 ways Edwin