MathCastle
Counting & ProbabilityChallengeDistributions: Stars & Bars and Integer Solutions

Distributions: Stars & Bars and Integer Solutions · Challenge problem

How many solutions in nonnegative integers does x1+x2+x3+x4+x5=30x_1+x_2+x_3+x_4+x_5=30 have with every xi≤10x_i\le 10?