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Let S={1,\ 2,\ 3,\ 4} and * be an operat...

Let `S={1,\ 2,\ 3,\ 4}` and `*` be an operation on `S` defined by `a*b=r ,` where `r` is the least non-negative remainder when product is divided by 5. Prove that `*` is a binary operation on `Sdot`

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