Respuesta :
Answer:
B. 720 ways
Step-by-step explanation:
To solve you would multiple 6x5x4x3x2x1 .
The required number of ways can 6 players be assigned to 6 positions on a baseball team is 720ways.
Given that,
Number of players = 6
Assigned position on a baseball = 6
We have to determine,
In how many ways can 6 players be assigned to 6 positions on a baseball team.
According to the question,
To solve this problem assuming that any player can play any position.
The formula to find [tex]^nP_r[/tex] is given by:
[tex]^np_r[/tex] is the permutation of arrangement of 'r' objects from a set of 'n' objects, into an order or sequence.
The formula to find permutation is:
[tex]^np_r = \frac{n!}{(n-r)!}[/tex]
Where, n = 6 and r = 6
Therefore,
[tex]^6p_6 = \frac{6!}{(6-6)!} \\[/tex]
[tex]= \frac{6\times5\times 4 \times 3 \times 2 \times 1}{0!} \\\\= \frac{720}{1} \\\\= 720 \ ways[/tex]
Hence, The required number of ways can 6 players be assigned to 6 positions on a baseball team is 720ways.
For more information about Permutation click the link given below.
https://brainly.com/question/25006168
