Atotal of 28 students have entered a spelling contest there are 6 medal for first through sixth place that will be awarded. in how many different ways can the medals be awarded? a. 178,340 b. 376740 c. 271252800 d. 96860

Since the order of the students selected is important in this item, the concept used for this question is that of the permutation. For this item it is the "permutation of 28 taken 6". This may be mathematically expressed as 28P6. The numerical answer is 271252800. Thus, the answer is letter C. 

To find the number of ways the medals can awarded,we can use permutation.
since the order is important we want to put 6 people in order from 28
No of ways=28 P 6
=28x27x26x25x24x23
=271252800
So the best option is C.
I hope this will work