In how many ways can we distribute 6 distinct balls into 3 identical boxes?

In how many ways can we distribute 6 distinct balls into 3 identical boxes?

Thanks to ‪@張騰達‬ for the ingenious solution to this classic combinatorics problem! In how many ways can we distribute 6 distinct balls into 3 identical boxes? This is a classic "twelvefold way" problem from combinatorics. It has other variations and you can read more about them here: https://en.wikipedia.org/wiki/Twelvef... or here https://www.johndcook.com/TwelvefoldW... Here's the video that I did with ‪@lihanmath‬    • 美國數學老師解法曝光!破解台灣排列組合經典難題   ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G David H Mateo F Emma M 💪 Support this channel and get my math notes by becoming a patron:   / blackpenredpen   🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #apcalculus