Consider a Soldier Facing in a Given Direction (Say North)

question 127

Multiple Choice

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 move from your present position." It does not mean "return to your original position.") Then we define and an operation meaning "followed by." Thus, means "left face" followed by "left face" and is the same as the single command "about face." Does the set H and operation satisfy the associative property? ​

• A) no
• B) yes

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