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Consider the binary operation "*" defin...

Consider the binary operation `"*"` defined on the set `A = {a,b,c,d}` by the following table.
`{:("*",a,b,c,d),(a,a,c,b,d),(b,d,a,b,c),(c,c,d,a,a),(d,d,b,a,c):}`
It is commutative and associative ?

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