Concept:Commutativity means the order of two operands does not affect the result of the binary operation.Explanation:For a binary operation ∗ defined on a set A, it is commutative if and only if a∗b=b∗a for all a,b∈A.This matches option A exactly.Option B, (a∗b)∗c=a∗(b∗c), defines associativity.Option C, (b∘c)∗a=(b∗a)∘(c∗a), defines distributivity of ∗ over ∘.Only option A gives the correct condition for commutativity.Answer:A. a∗b=b∗a