Difference between revisions of "2021 WSMO Team Round/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>) ==Solution") |
|||
| Line 2: | Line 2: | ||
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>) | 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 | + | ==Solution== |
Latest revision as of 12:01, 14 December 2023
Problem
Find the remainder when![\[\sum_{x+y+z\leq10}\frac{(x+y+z)!}{x!y!z!}\]](http://latex.artofproblemsolving.com/a/2/1/a217e3ab0fa96e71817aa418d9cac4ea5862e190.png)
is divided by 
. (
)
