Number of binary operations on the set {a, b} are
A. 10   B. 16   C. 20   D. 8

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 = 16.

The correct answer is B

NCERT Solutions for Class 12 Maths - Chapter 1 Exercise ME Question 19

Number of binary operations on the set {a, b} are A. 10 B. 16 C. 20 D. 8

Summary:

The number of binary operations on the set {a, b} are 16. The correct answer is B