1. For an integer k, let [k] = {1, 2, 3, ..., k} denote the set of the first k integers. Let Fk be the set of all functionsf : [k] → [2]. Find a bijection from Fk to P([k]).

Given for an integer k, let [k]={1,2,3,...,k} denote the set of the first k integers.

Answered: 1. For an integer k, let [k] = {1, 2,…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.1: Sets

Problem 13E: 13. Let Z denote the set of all integers, and let Prove that .

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1. For an integer k, let [k] = {1, 2, 3, ... , k} denote the set of the first k integers. Let Fr be the set of all functions f : [k] → [2]. Find a bijection from Fk to P([k]).