Every group G = {A, B, C, ... } obeys the same set of rules. We didn’t really make use of one of them—that multiplication of the elements is associative, (AB)C = A(BC)—but did discuss and use the other(s). Select it (or them) from the list below: 1. G must include the identity, E. 2. The number of elements in G must be finite. 3.. The product of any two elements (C = AB) must be in G. 4. The inverse of every element (A−1A = AA−1= E) must be in G.

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