The Yanghui Triangle, Part II

Welcome back for round two!¬† If you missed Part I, you can catch up here. An Alternative Explanation In the first part of this post, we explored the following specific consequence of the triangle that we generalized: $latex \displaystyle¬†\binom{6}{2} = \binom{5}{1}+\binom{5}{2}$. I recognized that I lacked an example of why this might be true from … Continue reading The Yanghui Triangle, Part II

Counting When There Are Repeats

How many ways can you arrange the letters in the word "MISSISSIPPI"? This is a popular problem that I always bring up with my statistics students who are first learning how to count. If you are not familiar with the three counting techniques of factorials, permutations, and combinations, bring yourself up to speed by reading … Continue reading Counting When There Are Repeats