There are 8 people competing in a race. How many different ways can they be put in 1st, 2nd and 3rd place?
We can choose any of the 8 for first place
Then, we can choose any of the remaining 7 for second place
Then, we can choose any of the remaining 6 for third place
So 8 x 7 x 6 = 336 ways
512. 8^3=512