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Consider a binary operation ${ }^*$ on $\mathrm{N}$ defined as $\mathbf{a}^* \mathbf{b}=\mathbf{a}^3+\mathbf{b}^3$. Choose the correct answer.
(a) Is ${ }^*$ both associative and commutative?
(b) Is * commutative but not associative?
(c) Is ${ }^*$ associative but not commutative?
(d) Is ${ }^*$ neither commutative nor associative?
(a) Is ${ }^*$ both associative and commutative?
(b) Is * commutative but not associative?
(c) Is ${ }^*$ associative but not commutative?
(d) Is ${ }^*$ neither commutative nor associative?
Solution:
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Verified Answer
(b)
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