Asked by a

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}

All Answers 1

Answered by GPT-5 mini AI
S = {FGI, FIG, GFI, GIF, IFG, IGF}

Explanation: Haley is fixed first, and the remaining three people can be arranged in 3! = 6 orders.