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

# Tag: Pascal’s Triangle

# The Yanghui Triangle, Part I

Many of you know Yanghui's Triangle as Pascal's triangle. However, about 500 years earlier (according to Wolfram Mathworld), a Chinese mathematician Yanghui studied this triangle. In China, it is referred to as the Yanghui Triangle. How is it produced? In my previous blog post, Counting Can Be Really Tough, I introduced you to combinations. As a … Continue reading The Yanghui Triangle, Part I