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Permutations, Probability and Number Theory

Last week, I had to teach my students in Honors Algebra on the topic of permutations, combinations and probability. In today's world of computer science, I decided to teach my students probability and its applications. Topics covered include number theory, expectations and random walks. First, I covered Sample Space, Probability, mutually exclusive events, dependent events and applications in the typical coin toss questions and gambling cards. I also touched on Combinations and Binomial Expansion. Expectations, Random Walks and some theorems were covered to help them expand on some proofs. All in all, it helps solidifies algebraic concepts and it provides them with a glimpse of its applications.