Permutations: Awarding Medals in Olympic 100-Meter Race

Explore permutations in the thrilling context of the Olympic 100-meter race finals! In this tutorial, we tackle the problem of determining the different ways the gold, silver, and bronze medals can be awarded among eight sprinters. Through a systematic breakdown, we elucidate the concept of permutations and provide a clear explanation of the solution process. Whether you're a sports enthusiast or interested in combinatorics, this video offers valuable insights into understanding permutations in competitive scenarios. Join us to deepen your appreciation for permutations and their role in award ceremonies!

In this video we answer this problem:

Eight sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver and bronze medals be awarded?

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Original text from Math in Society by David Lippman. ... https://www.youtube.com/watch?v=xOQHgIU8tpQ