Question

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

• A. 31
• B. 38
• C. 48
• D. 54

Answer 1

Answer: (A)

31

Answer 2

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 = $2^5 - 1 = 32 - 1 = 31$