MathCastle
ChallengeMediumCounting: Inclusion–Exclusion & Stars and Bars

Counting: Inclusion–Exclusion & Stars and Bars · Medium problem

How many ordered quadruples (a,b,c,d)(a,b,c,d) of integers satisfy a+b+c+d=20a+b+c+d=20 with 1≤a,b,c,d≤81\le a,b,c,d\le 8?