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A binary operation * on the set {0, 1, 2,3, 4,5} is defined as

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 A binary operation * on the set {0, 1, 2,3, 4,5} is defined as 

Show that zero is the identity for this operation and each element 'a' of the set is invertible with 6 - a, being the inverse of 'a'.

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Given 

The operation table for n is as follows:

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