Question

A binary operation A × A → is said to be associative if:-

Options

• (a* b) c = a* (b* c), (a, b), c, ∈ A

• (a* b)* = a* (b* c), (a, b), c, ∈ A

• (a* b* c) = a* (c* b), (a, b), c, ∈ A

• None of the above

Answer 1

(a* b) c = a* (b* c), (a, b), c, ∈ A

Explanation:

A binary operation *on a set 'A' is a function is A × A → A. We donete * (a, b) by a*b.