Question:
If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is
(a) 120
(b) 30
(c) 31
(d) 32
Solution:
(c) 31
The number of proper subsets of any set is given by the formula $2^{n}-1$, where $n$ is the number of elements in the set.
Here,
n = 5
$\therefore$ Number of proper subsets of $A=2^{5}-1=31$