Uploaded March 2025 | Updated September 2026, 2 weeks ago
This is the last question from the 2024 Berkeley mini Math Tournament, which is designed for middle school 8th graders (or lower graders).
The question is "Jonathan has 46 indistinguishable blue balls, 3 indistinguishable red balls, and a green ball in a bin. He continuously draws balls from the bin without replacement until he draws the green ball. For instance, Jonathan might draw a red ball, followed by two blue balls, another red ball, and then the green ball, completing the process. Compute the number of possible sequences of draws that are possible under these conditions."
To participate 2025 BmMT, check out: https://berkeley.mt/events/bmmt-2025/
Here's the problem: https://berkeley.mt/archives/bmmt-2024/individual-problems.pdf
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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 Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M
💪 Support this channel and get my math notes by becoming a patron: patreon.com/blackpenredpen
🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
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#blackpenredpen #math #BmMT #ucberkeley
This is the last question from the 2024 Berkeley mini Math Tournament, which is designed for middle school 8th graders (or lower graders).
The question is "Jonathan has 46 indistinguishable blue balls, 3 indistinguishable red balls, and a green ball in a bin. He continuously draws balls from the bin without replacement until he draws the green ball. For instance, Jonathan might draw a red ball, followed by two blue balls, another red ball, and then the green ball, completing the process. Compute the number of possible sequences of draws that are possible under these conditions."
To participate 2025 BmMT, check out: https://berkeley.mt/events/bmmt-2025/
Here's the problem: https://berkeley.mt/archives/bmmt-2024/individual-problems.pdf
----------------------------------------
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 Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M
💪 Support this channel and get my math notes by becoming a patron: patreon.com/blackpenredpen
🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
----------------------------------------
#blackpenredpen #math #BmMT #ucberkeley
