In a particular 100 meter race, 5 athletes are participating that are numbered 1-5. In how many ways can athlete #5 finish ahead of #2 provided there's no tie among the athletes?
Pick one
A) 60  B) 100  C) 120  D) 180  E) 240
The total number of ways for the athletes to finish is 5! = 120.   #5 will be ahead of #2 in exactly half of these possibilities.   120/2= 
<gadget id="calculator">120/2</gadget>
<output>60</output>
60   The answer is 60.
<result>A</result>
In a particular 100 meter race, 5 athletes are participating that are numbered 1-5. In how many ways can athlete #5 finish ahead of #2 provided there's no tie among the athletes?