Ten runners join a race. In how many possible ways can they be arranged as first, second, and third placers?

Question

 Ten runners join a race. I want to know how many ways are they can be arranged as first, second and third placers.

Answer 1

10*9*8 = 720

 

10 choices for 1st place

 9 choices for 2nd place

 8 choices for 3rd place