Question

A set $A$ has $5$ elements. Then the maximum number of relations on $A$ (including empty relation) is

• A. $5$
• B. $2^5$
• C. $2^{25}$
• D. $25$

Answer 1

Answer: (C)

$2^{25}$

Answer 2

Number of elements in set $A = 5$
$\therefore$ Required number of relations $= 2^n = 2^{25}$