Permutations: Selecting an Executive Committee

Explore permutations in organizational structure as we tackle the problem of selecting an executive committee from a board of directors. In this tutorial, we analyze how many different ways a four-person executive committee (president, vice-president, secretary, treasurer) can be chosen from a 16-member board of directors of a non-profit organization. Through a systematic explanation, we elucidate the concept of permutations and provide a clear understanding of the solution process. Whether you're involved in organizational management or interested in combinatorial mathematics, this video offers valuable insights into understanding permutations in practical contexts. Join us to deepen your appreciation for permutations and their role in forming executive committees!

In this video we solve this problem:
How many ways can a four-person executive committee (president, vice-president, secretary, treasurer) be selected from a 16-member board of directors of a non-profit organization?

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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.