Permutation formula

The index is augmented by successively permuted versions of all empirical formulas. As an example, C3H3AIO9 will appear as such and, at the appropriate positions in the alphanumeric sequence, as H3A109 C3, AIO/C3H3 and 09 C3H3A1. The asterisk identifies a permuted formula and allows the original formula to be reconstructed by shifting to the front the elements that follow the asterisk. 

If we choose only one species of guest (Njj = N i) and define L as the number of boxes, then we obtain the statistical permutation formula for the number of ways Nij indistinguishable objects can be placed in L distinguishable boxes with at most one object per box. 

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