I know I have to write an equation to solve the problem down. But I realy don't know how to use the given information. I did it by enumeration, but I don't get it how this will be shown by an algebriac argument. Please some one help me at least with an idea.(adsbygoogle = window.adsbygoogle || []).push({});

If S = {1,2,3,4}, consider the function f:SxS-> N defined by f(x,y)= 4x+y-4. Determine the image of f, and show by an algebraic argument [not by enumeration] that f is one to one function on SxS. [hint: because S has only four elements, the difference of two of its elements is a multiple of 4 iff they are equal.]

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# Homework Help: Discrete Mathematics

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