Question

A total of 25 students have entered a spelling contest. There are 6 medals for
first through sixth place that will be awarded. In how many different ways can the medals be awarded?

Answer 1

idgi :(

Answer 2

Ohhh waittt
Im actually wrong since each award will be different and is distinguishable
First place is a special award .... then second place.
So in fact order does matter and we would consider this a permutation
and the formula goes as follows:
\[\frac{n!}{(n-r)!}\]
Where n is the total amt of students which is 25
and r is the max amt of students that will be awarded which is 6 in this case