in the final event of a track meet, 6 runners run a 100 meter dash. A) How many possible arrangements are there for the medal winners (gold, silver and bronze)? B) state whether it is a combination or permutation

ANSWERS

2016-04-21 22:22:43

6 runners, 3 medals, how many ways to give them? well, runner say 2 could get gold or not, bronze or not and silver or not, and so can any other runnner, and the order "does matter", it makes a distinction, thus, is a Permutation [latex]f _nP_r=cfrac{n!}{(n-r)!}qquad qquad _6P_3=cfrac{6!}{(6-3)!}[/latex]

ADD ANSWER