A baseball team consists of 20 players. 5 of whom are pitchers and 15 of whom are position players. If the order consists of 8 different position players and 1 pitcher, and if the pitcher always bats last in the order, which of the following expressions gives the number of possible different batting orders for this baseball team?

A. (15!)*(5)/8!
B. (15!)*(5)/7!
C. (15!)*(5!)/7!
D. 15!*5
E.20!

I go the answer [spoiler](15!)*5/8!*7! which is not a choice.[/spoiler] where am i going wrong