Respuesta :

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

[tex]28P6= \frac{28!}{22!} \\ \\ =271252800 [/tex]

This means, there are 271252800 ways to award the medals.

So, the correct option is C

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