MathCastle
Counting & ProbabilityChallengeIdentities and Techniques, Proved

Identities and Techniques, Proved · Challenge problem

How many ordered 5-tuples of integers (x1,…,x5)(x_1,\ldots,x_5) with 0≤xi≤70\le x_i\le 7 satisfy x1+x2+x3+x4+x5=20x_1+x_2+x_3+x_4+x_5=20?