Question

If A = {1, 2, 3} then number of relations possible on A which are not functions on A is_______.

• A. 455
• B. 485
• C. 475
• D. 465

Answer 1

The correct option is B 485

option (a)
Number of relations on $A=2^{n^2}wheren=3$
$=2^9=512$

Number of function on $A=n^{n}wheren=3$
$=3^3=27$

$\therefore$ Number of relations on A which are not function
= 512 - 27
= 485