Andrea, Beatrice, Celia, Dinah and Eva are competing in an 800-metre run. Medals will be awarded for 1st place, 2nd place and 3rd place. How many different arrangements of the three medal winners are possible (assuming none of the top three finish with the exact same time)? Figure 1 below shows the 60 possible arrangements for 1st, 2nd and 3rd place for the five runners. The first column has all the possibilities for...