Decide Which of the 5 Properties of a Commutative Group

Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for
the given system.
- $$\begin{array} { c | c c c } ? & \vee & ¥ & \Theta \\\hline \vee & \vee & \Theta & ¥ \\¥ & \Theta & ¥ & \vee \\\Theta & ¥ &£ & \vee \end{array}$$

A) None of them
B) Closure only
C) Closure, identity, associative, and commutative only
D) Closure, identity, inverse, and associative only

Correct Answer:

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