Guichard-Combinatorics-Graph-Theory · Problem 3.2.4
Generating Functions
Mathematics — Probability · exponential-generating-functions
Problem
In how many ways can we paint the 10 rooms of a hotel if at most three can be painted red, at most 2 painted green, at most 1 painted white, and any number can be painted blue or orange? (The rooms are different, so order matters.)