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Let n be the set of natural numbers and let f be the set of total functions from set n to set {0,1}.
a) construct a total injective function: g1: n > f. if such a function does not exist, explain why.
b) construct a total surjective function: g2: n > p(n). if such a function does not exist, explain why.
c) construct a total bijective function: g3: p(n) > f. if such a function does not exist, explain why.
Answers: 3
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