Permutations: Awarding Gift Certificates at a Charity Benefit

Join us as we explore permutations in the context of awarding gift certificates at a charity benefit. In this tutorial, we delve into the problem of determining the different ways three gift certificates can be awarded among 25 attendees, each certificate having a distinct value. Through a systematic approach, we unravel the concept of permutations and provide a clear explanation of the solution process. Whether you're studying combinatorics or interested in practical applications of permutations, this video offers valuable insights into understanding permutations in distribution scenarios. Tune in to deepen your understanding of permutations and their significance in charitable events!

The problem we solve is:
A charity benefit is attended by 25 people and three gift certificates are given away as door prizes: one gift certificate is in the amount of $100, the second is worth $25 and the third is worth $10. Assuming that no person receives more than one prize, how many different ways can the three gift certificates 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.