How Pascal’s Triangle Teaches Us How To Count - Sum Of A Row

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/zhuli . The first 200 of you will get 20% off Brilliant’s annual premium subscription. There are lots of patterns within Pascal's triangle. What do these patterns teach us about counting? This video examines the sum of a row of Pascal's triangle, how to prove the pattern, and describes some different abstract approaches to problems like this. My Patreon:   / zhulimath   0:04 Sum of a Row 1:22 A Counting Problem - Solution 1 3:14 A Counting Problem - Solution 2 5:03 Pascal's Triangle Proof 5:57 Comparing Approaches 8:26 Conclusion - Three Perspectives Intro riff taken from: Nikolai Kapustin - 8 Concert Etudes, Op. 40: III. Toccatina Music Credit: Megan Wofford / Moving Ahead Sam Eber / Cottage In Wales Howard Harper-Barnes / Elegance Becomes Her Rikard From / Blues for the Lonesome courtesy of www.epidemicsound.com This video was sponsored by Brilliant.