Carmelo and LeBron participate in a five-person footrace on the basketball court during All-Star Weekend. If all five contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron? Choose the correct choice from the following:
A) 5040	B) 2520	C) 720	D) 120	E) 60
5! = 120   120/2= 
<gadget id="calculator">120/2</gadget>
<output>60</output>
60 half the time carmelo is in front, vice versa   Answer:   (60) 60
<result>E</result>
Carmelo and LeBron participate in a five-person footrace on the basketball court during All-Star Weekend. If all five contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?