Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2021 WSMO Team Round Problems/Problem 11

Revision as of 22:16, 15 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>) ''Proposed by pinkpig'...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2021_WSMO_Team_Round_Problems/Problem_11&oldid=207634"