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/Problem 11

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2021_WSMO_Team_Round/Problem_11&oldid=207290"