There are 28 cars registered for a race. The top 5 finishers will be awarded trophies.

1. how many different ways can the trophies be awarded?
2. Now, the trophies are labeled "first, second,etc How many different ways can the trophies be awarded?

1. based on the wording of #2, I will assume that the order of finishing in #1 does not matter,

so number of selections of 5 from 28 is
C(28,5) = 98280

#2, the order matters, so
number of ways
= 28x27x26x25x24
= .....