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  3. consider the set s it contains just 3 elements...

Question: consider the set s it contains just 3 elements...

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Consider the set S {*,*,#}. It contains just 3 elements, and has no ordering: {*,*,#} {#,*,*} etc. (In fact the same is true for {1,2,3) - {2,3,1} etc, although we could make this an ordered set using 3 > 2 > 1.) i) Invent a function with domain {*,*,#} and codomain R. (Re- member that the domain of a function is the set of all its allowed inputs and the codomain (or target space) is the set where the outputs can live. A function is specified by assigning exactly one co domain element to each element of the dom ain (ii) Choose an ordering on {*,*,#}, and then use it to write vour function from part (i) as a triple of numbers iii) Choose a new ordering on {*,*,#1 and then write your function from part (i) as a triple of numbers(iv) Your answers for parts (ii) andi) are different yet represent the same function - explain!

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