Statistics

Question

8 people are running a race. How many results we can have, if first,
second, and third place have to be filled?

Answer 1

This is question of permutation.

From the 8 people there are 8 possible winners, and then 7 possible runner-ups, and finally 6 possible third place finishers. We are choosing 3 from 8 and placing them in an order; the number of ways is

⁸p₃ =336