SOLUTION: 64 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the thir

Algebra ->  Permutations -> SOLUTION: 64 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the thir      Log On


   

Question 1206362: 64 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

64 choices for 1st place
63 choices for 2nd place
62 choices for 3rd place

64*63*62 = 249984 different permutations are possible.