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The correct answer is choice (c).

* is not commutative. Take this counterexample.

$2 * 4 = 4$, and $4 * 2 = 1$.

Clearly $2 * 4$ is not equal to $4 * 2$.

* is not associative. Let's see if $2 * (3 * 4)$ is equal to $(2 * 3) * 4$.

LHS: $2 * (3 * 4)$ = $2 * 2$ = 2.

RHS: $(2 * 3) * 4$ = $1 * 4$ = 4.

Clearly both are not equal, hence * is not associative either.

However * does have an identity element, and we can clearly see that the identity element is 1.

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