Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron? Select the correct option
A) 5040  B) 2520  C) 720  D) 120  E) 42
7! = 5040   5040/2= 
<gadget id="calculator">5040/2</gadget>
<output>2_520</output>
2520 half the time carmelo is in front, vice versa   Answer:   (2520) 2520
<result>B</result>
Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?