Medal Gold Silver

how many different ways can a gold, silver, and bronze medal be awarded if there are 6 sprinters in the race.?

Well!!
As you have only three medals, only those 3 who finish first will get it!!

No. of possible arrangements = P(6,3) = 6!/(6-3)! = 6! / 3! = 120

Thus, you can give the medals away in 120 different ways