Question

let G has two elements, then no. of binary operation on G??? ​

Answer 1

Answer:

It is given that a set G, has 2 elements, you can form infinite number of binary operations.

The Meaning of term binary is to combine two terms to get a new term, which include operations , +,-,* and Division.

So, you can create many binary operations, using these operations (+,-,*,/)

1. a@ b = a b +b, where @ is the operation between two.

2. a ^ b= a²+b²-a b, where ^ is the operation between two.

So, there are infinitely many binary operations, on set G  , using two elements.