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2021 WSMO Team Round/Problem 11

Revision as of 12:00, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Find the remainder when<cmath>\sum_{x+y+z\leq10}\frac{(x+y+z)!}{x!y!z!}</cmath>is divided by <math>100</math>. (<math>x,y,z\geq 0</math>) ==Solution")
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Problem

Find the remainder when\[\sum_{x+y+z\leq10}\frac{(x+y+z)!}{x!y!z!}\]is divided by $100$. ($x,y,z\geq 0$)

==Solution

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