5.6.48. Let X be a nonempty set, and define B to be the set of all functions from X to the two-elementset {0,1}:Construct a bijection h: P(X) → B.B = {f: X→ {0, 1}}.

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Answered: 5.6.48. Let X be a nonempty set, and…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.5: Permutations And Inverses

Problem 4E: 4. Let , where is nonempty. Prove that a has left inverse if and only if for every subset of .

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5.6.48. Let X be a nonempty set, and define B to be the set of all functions from X to the two-element set {0,1}: Construct a bijection h: P(X) → B. B = {f: X→ {0, 1}}.