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\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?

S = {FGI, GFI, IFG}
S = {FGI, FIG, GFI, GIF}
S = {FGI, FIG, GFI, GIF, IFG, IGF}
S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}



Answer :

Answer:

S = {FGI, FIG, GFI, GIF, IFG, IGF}

Step-by-step explanation:

The correct answer is:

S = {FGI, FIG, GFI, GIF, IFG, IGF}

Explanation:

Since Haley is the first runner, the order of the remaining three runners is not fixed. There are four possible ways to arrange the remaining three runners: Fran, Gloria, and Imani. These arrangements are:

1. FGI

2. FIG

3. GFI

4. GIF

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

S = {FGI, FIG, GFI, GIF, IFG, IGF}

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