SOLUTION: In a race with 10 participants, how many ways are there to award gold, silver, and bronze medals if no participant can win more than one medal?

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Question 1202211: In a race with 10 participants, how many ways are there to award gold, silver, and bronze medals if no participant can win more than one medal?
Found 2 solutions by math_helper, math_tutor2020:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


Because order matters, you have P(10,3) different possible outcomes, where

P(n,r) = n!/(n-r)!

 

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!
 

Answer: 720





Reason:





There are 10 ways to pick the 1st place runner.

Then 9 ways to pick the 2nd place runner.

And finally 8 ways to get the 3rd place runner.





10*9*8 = 720 different permutations are possible.

 

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