Combinatorics and Graph Theory · Problem 3.2.4

Generating Functions — David Guichard

Mathematics — Combinatorics · 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.)

Related theory

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