Question

If there are $2$ elements in a set $A$ , then what would be the number of possible relations from the set $A$ to set $A$ ?

• A. $2$
• B. $4$
• C. $16$
• D. $32$

Answer 1

Answer: (C)

Since there are $2$ elements in a set $A$.
$\therefore$ Number of possible relations from set $A$ to set $A$
$=2^{2^2}=2^4=16$