Total number of students = 28
Number of medals to be awarded = 6
We have to distribute (arrange) the 6 medals among 28 students, so this is a problem of permutations. This means we have to find the permutations of 28 objects taken 6 at a time. This can be expressed as 28P6
This means, there are 271252800 ways to award the medals.
So, the correct option is C