JAMB - Mathematics (2023 - No. 36)
Let a binary operation '*' be defined on a set A. The operation will be commutative if
a*b = b*a
(a*b)*c = a*(b*c)
(b ο c)*a = (b*a) ο (c*a)
None of the above
Explanation
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.
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.
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