Quick Comment on Egf and Ogf

Ogf can be interepreted in two ways first
e1+e2+ ... +ek = n
Distributing n unlabelled balls into k labelled boxes
or
Selecting n balls from k heaps

Egf can be interepreted as
e1+e2+...+ek = n
Arranging an n balls/letter word where balls/letters come from k heaps
k!*S(n,k) can be interpreted as arranging an n letter word where letters come from k heaps and contain at least each of the k letter.