Does the set H and operation from Problem 56 satisfy the following properties? Give reasons. a. Associative

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Does the set H and operation image from Problem 56 satisfy the following properties? Give reasons.

a. Associative

b. Commutative

Data from Problem 56

Consider a soldier facing in a given direction (say, north).
Let us denote

"left face" by l, "right face" by r, "about face" by a, and "stand fast" by f. (The element f means "don't

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