Consider functions f : {1,2,3,4}?{1,2,3,4,5,6}. a) Give an example of one such function (use 2-line notation). Then...

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Advance Math

Consider functions f : {1,2,3,4}?{1,2,3,4,5,6}.

a) Give an example of one such function (use 2-line notation).Then say how many such functions there are and why your answermakes sense.(25 points)

(b)Give one example of such a function that is injective and onethat is not. Then say how many injective functions there are andwhy your answer makes sense.(50 points)

(c) Explain why there are no surjective functions with thisdomain and codomain. (25 points)

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