1
Question
Number of
binary operations on the set {a, b} are
(A) 10 (B) 16 (C) 20 (D) 8
Number of binary operations on the set {a, b} are
(A) 10 (B) 16 (C) 20 (D) 8
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Solution
A binary
operation * on {a, b} is a function from {a, b}
× {a, b} → {a, b}
i.e., * is
a function from {(a, a), (a, b), (b,
a), (b, b)} → {a, b}.
Hence, the
total number of binary operations on the set {a, b} is
24 i.e., 16.
The
correct answer is B.
A binary operation * on {a, b} is a function from {a, b} × {a, b} → {a, b}
i.e., * is a function from {(a, a), (a, b), (b, a), (b, b)} → {a, b}.
Hence, the total number of binary operations on the set {a, b} is 24 i.e., 16.
The correct answer is B.
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