Question

If a set $A$ has $4$ elements, then the total number of proper subsets of set $A$, is

• A. 16
• B. 14
• C. 15
• D. 17

Answer 1

Answer: (C)

15

Answer 2

$n(A) = 4$ (given)
$\therefore$ Total no. of subsets of $A= 2^4 = 16$
$\therefore$ No. of proper subsets = $16 - 1 = 15$