Sets Relations And Functions Question 10

Question: If $A=\{1,2,3,4,5\}$, then the number of proper subsets of A is

Options:

A) 31

B) 38

C) 48

D) 54

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a]Note: Number of proper subsets of $ A=2^{n}-1 $
    Given: $ A=\{1,2,3,4,5\} $
    Here $ n=5 $

$ \therefore $
no. of proper subsets $ =2^{5}-1 $