A binary operation ∗ on the set {1, 2, 3, 4, 5} is defined by a ∗ b = min(a, b). The operation table is: A. commutative but not associative B. associative but not commutative C. commutative and associative D. neither commutative nor associative Answer: C) commutative and associative Explanation: min(a, b) = min(b, a) → commutative. min(a, min(b, c)) = min(min(a, b), c) = min(a, b, c) → associative.

imo class 12 relations and functions

A binary operation ∗ on the set {1, 2, 3, 4, 5} is defined by a ∗ b = min(a, b). The operation table is:

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A binary operation ∗ on the set {1, 2, 3, 4, 5} is defined by a ∗ b = min(a, b). The operation table is:

Answer: C) commutative and associative

Explanation: min(a, b) = min(b, a) → commutative. min(a, min(b, c)) = min(min(a, b), c) = min(a, b, c) → associative.