Let ' \( * \) ' be the binary operation defined on \( \mathbf{R} \)...

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Let ' \( * \) ' be the binary operation defined on \( \mathbf{R} \) by \( a * b=1+a b \forall a, b \in \mathbf{R} \).
Then the operation '*' is :
both commutative and associative.
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