Q.

Let A be a set of 3 elements. The number of different binary operations can be defined on A is:

1 39  
2 33  
3 32  
4 36  

Ans.

(1)

Ans.     39

Explanation:

The number of binary operations that can be defined on a set of n elements is nn2

Given n=3,

∴  Number of binary operations =332=39