Same chapter3 marksDifficulty: Medium
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What is a binary operation on a set? State when it is commutative and when it is associative.
Original Khojo Papers practice question — not from a past board paper.
Answer
A binary operation on a set A is a rule that assigns to every ordered pair of elements of A a unique element of A. It is commutative if a * b = b * a for all a and b, and associative if (a * b) * c = a * (b * c) for all a, b and c.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Subtraction on the integers is a binary operation that is neither commutative nor associative.
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