Difference between revisions of "2021 WSMO Team Round Problems/Problem 11"

(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>) ''Proposed by pinkpig'...")
 
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Latest revision as of 22:16, 15 December 2023

Problem

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

Proposed by pinkpig

Solution