Question

Let $A=a,b,c,B=a,C=a,b$ then, Which sets given above are the proper subsets of the set A?

• A. Set B
  
• B. Set C
  
• C. Set B and set C
• D. None of these
  

Answer 1

The correct option is C Set B and set C

$\text{A set 'A' is said to be proper subset of set 'B'. If B contain atleast one more element than 'A'.}$
$\text{Clearly, set A contain element of set B and two more elements (b,c) than B.}$
$\Rightarrow$ B is proper subset of A.
$\text{Again, set A contain element of set C and one more element (c) than C.}$
$\Rightarrow$ C is proper subset of A.