In how many ways can we distribute 6 distinct balls into 3 identical boxes? @blackpenredpen
In how many ways can we distribute 6 distinct balls into 3 identical boxes? @blackpenredpen
Uploaded October 2024 | Updated September 2026, 2 weeks ago
Thanks to @弡騰達 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: en.wikipedia.org/wiki/Twelvefold_way or here johndcook.com/TwelvefoldWay.pdf

Here's the video that I did with @lihanmath youtu.be/JlXa5EI_SKI?si=af5UlDsroyBXUyTj

----------------------------------------
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

πŸ’ͺ Support this channel and get my math notes by becoming a patron: patreon.com/blackpenredpen
πŸ› Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
----------------------------------------
#blackpenredpen #math #calculus #apcalculus
In how many ways can we distribute 6 distinct balls into 3 identical boxes?Why do mathematicians think disc=square?My All-In-One Calculus Problem! (now in a matrix!)Finding the BIGGEST rectangle under y=x^3 (but NO calculus!)Meet the 94-year-old calculus teacher! @ycmathematicsphysicsandche5659Trig & Precalculus Office Hours w/ @blackpenredpen - Were Live, Ask Away!Can factorial ever be 0?Math for fun: solving (4^x+8)^4-(8^x-4)^4=(4+8^x+4^x)^4Integral battle! 2024 vs 2025Pythagorean Theorem & Its Inverse (my favorite proof)The most fun way of solving this quartic equationWhy are integrals so hard?
blackpenredpen |

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

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER