Create a roster for a baseball team of 25 players. Determine how many
catchers, pitchers, infielders, and outfielders must be on the team.
How many catchers are on your team? _______3______
How many pitchers are on your team? _______3______
How many infielders are on your team? ______9______
How many outfielders are on your team? _____10____
How many different combinations of players can be on
the field at any given time? Show your work. 25!/4!(25-4)!=25!/4!21!=12650
How many different permutations of players can be on the field at any
given time? Show your work. 25!/(25-4)!=25!/21!=303600
Which of these numbers would be more helpful
to a
manager who wants to figure out who to play together on the field? Explain your
answer. I think combinations because you
combine the players with different players at different times.
If a major league baseball team plays 162 games in a
season and 1 combination is used per game, how many seasons would it take to go
through every combination of players? Explain your answer. Divide the combinations of players and divide it by
the number of games we get aprox 78 seasons
How many seasons would it take to go through each
permutation of players? Explain your answer.<span>
Divide the number of permutations of players by the number of games and we get
approx 1874</span>
