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Which of the following is true? * defined by `a*b=(a+b)/2` is a binary operation on `Z` (b) * defined by `a*b=(a+b)/2` is a binary operation on `Q` (c) all binary commutative operations are associative (d) subtraction is a binary operation on `N`

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(a)` a*b=(a+b)/2=>5/2 cancel(in) Z` is not commutative
(b)`a*b=(a+b)/2=>5/2 in Q` satisfied.
(c) is not associative.
(d) `a*b=-1 cancel(in) N`
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