In a particular 100 meter race, 7 athletes are participating that are numbered 1-7. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?  Choose the correct choice from the following answers: A) 1240 B) 1860 C) 2520 D) 3220 E) 4180
The total number of ways for the athletes to finish is 7! = 5040.   #4 will be ahead of #2 in exactly half of these possibilities.   5040/2= 
<gadget id="calculator">5040/2</gadget>
<output>2_520</output>
2520   The answer is 2520.
<result>C</result>
In a particular 100 meter race, 7 athletes are participating that are numbered 1-7. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?