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Let * be the binary operation on N de...

Let `*` be the binary operation on N defined by `a" "*" "b" "=" "HdotCdotFdot` of a and b. Is `*` commutative? Is `*` associative? Does there exist identity for this binary operation on N?

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The correct Answer is:
`**` is both commutative and associative;` **` does not have any identity in N
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