7 people can be prized with 5 distinct prizes in 7^5 ways
In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?

(a) 8^8 ways
(b) 8^9 ways
(c) 7^5 ways
(d) 8^7 ways
(e) 8^6 ways