ABSTRACT

In ^plying P61ya’s ennmeration theorem, the algebraic calculations upon substituting the figure-counting series can become very cumber­ some; the information provided by the full configuration series is often redundant. Though sometimes we only need one co^cien t, we have to carry out operations which automatically lead to all the coeffidents. In many such applications the very breadth of Pdlya’s formulation makes it less attractive than Ruch’s double coset formalism [48], which entails less labour than lengthy polynomial expansions.