Let

A  B  C 
A  C  A  B 
B  A  B  C 
C  B  A  C 
a. Is the binary operation
b. Determine whether there is an identity element in
c. If there is an identity element, which elements have inverses?
a)
Whether the given binary operation is commutative or not.
Given Information:
The set
A  B  C  
A  A  B  C 
B  B  C  A 
C  C  A  B 
Explanation:
Consider the given table
b)
Whether there is an identity element in
c)
The inverse of elements of
Intermediate Algebra
Calculus (MindTap Course List)
Mathematical Applications for the Management, Life, and Social Sciences
Understanding Basic Statistics
Calculus: Early Transcendental Functions
Probability and Statistics for Engineering and the Sciences
Elementary Technical Mathematics
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: An Applied Approach (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus: Early Transcendentals
Precalculus: Mathematics for Calculus (Standalone Book)
Contemporary Mathematics for Business & Consumers
Finite Mathematics and Applied Calculus (MindTap Course List)
Single Variable Calculus
Applied Calculus
Statistics for The Behavioral Sciences (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Multivariable Calculus
Essentials Of Statistics
Trigonometry (MindTap Course List)
Mathematical Excursions (MindTap Course List)
Elementary Geometry For College Students, 7e
Finite Mathematics for the Managerial, Life, and Social Sciences
Calculus: Early Transcendental Functions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Calculus of a Single Variable
Study Guide for Stewart's Multivariable Calculus, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Introduction To Statistics And Data Analysis
Elementary Geometry for College Students
College Algebra (MindTap Course List)
Multivariable Calculus
Research Methods for the Behavioral Sciences (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
Mathematics For Machine Technology
Calculus (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICSTEXT