Combinatorics and Graph Theory · Problem 3.2.3

Generating Functions — David Guichard

Mathematics — Combinatorics · exponential-generating-functions

Problem

Find an exponential generating function for the number of permutations with repetition of length

n

of the set

\{a, b, c\}

, in which the number of

a

s is even and at least 2, the number of

b

s is even and at most 6, and the number of

c

s is at least 3.