Carmelo and LeBron participate in a nine-person footrace on the basketball court during All-Star Weekend. If all nine contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?  Choices
A) 504020 B) 181440 C) 720 D) 120 E) 42
9! = 362880   362880/2= 
<gadget id="calculator">362880/2</gadget>
<output>181_440</output>
181440 half the time carmelo is in front, vice versa   Answer:   (181440) 181440
<result>B</result>
Carmelo and LeBron participate in a nine-person footrace on the basketball court during All-Star Weekend. If all nine contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?