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The text discusses a binary operation star defined on a set of elements four, five, six, seven, and eight. It explains the definition of the operation table for this binary operation and introduces the concept of commutativity. A binary operation star on a set is commutative if a star b equals b star a for all a and b in the set. By checking the operation table for the specific elements five and six, it is shown that five star six equals six star five, demonstrating commutativity. This property holds true for all elements in the set, indicating that the binary operation star is commutative.