Let a binary operation '*' be defined on a set A. The operation will be commutative if
A
a*b = b*a
B
(a*b)*c = a*(b*c)
C
(b ο c)*a = (b*a) ο (c*a)
D
None of the above
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
A binary operation '*' defined on a set A is said to be commutative only if a*b=b*a, ∀a, b∈A.
If (a*b)*c=a*(b*c), then the operation is said to associative ∀ a, b∈ A.
If (b ο c)*a=(b*a) ο (c*a), then the operation is said to be distributive ∀ a, b, c ∈ A.
Source: WAEC / JAMB / NECO Classroom Archive (Record #67302)