Let

A  B  C 
A  A  B  C 
B  B  C  A 
C  C  A  B 
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.
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
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