Respuesta :
Number of possible outcome = (17 x 16 x 15) ÷ (1 x 2 x 3) = 680
Answer: 680.
Answer: 680.
Using the combination formula, it is found that 680 outcomes of 3 players are possible.
The order in which the players are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 players are chosen from a set of 17, hence:
[tex]C_{17,3} = \frac{17!}{3!14!}[/tex]
680 outcomes of 3 players are possible.
More can be learned about the combination formula at https://brainly.com/question/25821700
