Question
Solve the problem
A baseball manager has 11 players. How many 9 players starting lineups can he create?
A baseball manager has 11 players. How many 9 players starting lineups can he create?
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve this problem, we can use the combination formula, which is given by:
C(n, r) = n! / (r!(n-r)!)
In this case, the manager has 11 players (n=11) and needs to select 9 players for the starting lineup (r=9). Therefore, the number of 9 player starting lineups that the manager can create is:
C(11, 9) = 11! / (9!(11-9)!)
= 11! / (9!2!)
= (11 * 10 * 9!) / (9! * 2)
= (11 * 10) / 2
= 110 / 2
= 55
Therefore, the baseball manager can create 55 different 9 player starting lineups.
C(n, r) = n! / (r!(n-r)!)
In this case, the manager has 11 players (n=11) and needs to select 9 players for the starting lineup (r=9). Therefore, the number of 9 player starting lineups that the manager can create is:
C(11, 9) = 11! / (9!(11-9)!)
= 11! / (9!2!)
= (11 * 10 * 9!) / (9! * 2)
= (11 * 10) / 2
= 110 / 2
= 55
Therefore, the baseball manager can create 55 different 9 player starting lineups.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.