Question

Each member of a baseball team has a specific position. Those positions are catcher, pitcher, infielder, and outfielder. At any given time, there must be nine players on the field: one catcher, one pitcher, four infielders, and three outfielders.
Part 1: Create your team
Create a roster for a baseball team of 25 players. Determine how many catchers, pitchers, infielders, and outfielders must be on the team. [5 points]
How many catchers are on your team? 2
How many pitchers are on your team? 2
How many infielders are on your team? 12
How many outfielders are on your team? 9

Answer 1

b. How many different permutations of players can be on the field at any given time? Show your work. [30 points]
25-P-9, 25!/(25 – 9)!, 25!/14!, 15511210043330985984000000/87178291200, 177925144320000 permutations

Answer 2

Did I do my work right? Or was I supposed to use the identical objects permutation method? @iambatman

Answer 3

@Mehek14 @justuu

Answer 4

@Mehek14

Answer 5

eh idk

Answer 6

Thanks for looking ^_^

Answer 7

@TwilightRain1

Answer 8

@xapproachesinfinity