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?

Haley is already fixed as the first runner, so the remaining order is determined by arranging Fran, Gloria, and Imani. Three runners can be arranged in 3 × 2 × 1 = 6 ways: FGI, FIG, GFI, GIF, IFG, and IGF. Choice C lists all six possible orders.

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