Question

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. What is the sample space showing the possible orders of the other three runners?

Answer 1

the anwser is c took the test and got it right so hopefully that helps

Answer 2

Answer: The sample space showing the possible orders of the other three runners is

`S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}`

Explanation:

Since we have given that

Number of runners = 4

Four runners are as follows:

Fran, Gloria, Haley, and Imani.

Since Haley is the first runner in the relay,

So, Sample space showing the possible order of the other three runners.

`S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}`

Hence, the sample space showing the possible orders of the other three runners is

`S=\{HFGI,HGFI,HIGF,HFIG,HGIF,HIFG\}`