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
A
cap s is equal to FGI comma FIG comma GFI comma GIF
B
cap s is equal to FGI comma FIG comma GFI comma GIF comma IFG comma IGF
C
cap s is equal to FGI comma GFI comma IFG
D
cap s is equal to FGI comma FIG comma GFI comma GIF comma HFG comma HGI comma IFG comma IGF
Explanation
Haley is already fixed as the first runner, so the remaining positions can be filled by Fran, Gloria, and Imani in any order. Three runners have 3 × 2 × 1 = 6 possible orders: FGI, FIG, GFI, GIF, IFG, and IGF. Choice A lists all six orders.
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