Respuesta :
the Different possibilities in which the three players are placed are as follows ;
F can come first then the possibilities of other 2 players are ;
FGI and FIG
G can come first then the possibilities of other 2 players are ;
GIF and GFI
Next If I comes first then the possibilities are
IGF and IFG
Therefore sample space for all the possibilities as noted above are;
S = {FGI, FIG, GFI, GIF, IFG, IGF}
F can come first then the possibilities of other 2 players are ;
FGI and FIG
G can come first then the possibilities of other 2 players are ;
GIF and GFI
Next If I comes first then the possibilities are
IGF and IFG
Therefore sample space for all the possibilities as noted above are;
S = {FGI, FIG, GFI, GIF, IFG, IGF}
The sample space or sets showing the possible orders of the other three runners is S = {FGI, FIG, GFI, GIF, IFG, IGF}.
What are Sets?
Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.
Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team.
Haley is the first runner in the relay. The other runners can run in any order.
The sample space or sets showing the possible orders of the other three runners will be
S = {FGI, FIG, GFI, GIF, IFG, IGF}
Thus, the correct option is C.
More about the sets link is given below.
https://brainly.com/question/8053622
