Question

Match List-I with List-II on the basis of relationship. List-I:
A. Complement operation,
B. Power set operation,
C. Cartesian product,
D. Union and intersection. List-II:
I. Collection of subsets, II. Tuples ordered, III. Universal set, IV. Difference symmetri
C.

• A. A-I, B-II, C-III, D-IV
• B. A-IV, B-I, C-III, D-II
• C. A-III, B-IV, C-I, D-II
• D. A-III, B-I, C-II, D-IV

Hint:

Power set means collection of subsets, while Cartesian product gives ordered pairs or ordered tuples.

Answer 1

The Correct Option is D

Concept:
This question is based on basic operations on sets.

Step 1: Complement operation.
Complement of a set is always taken with respect to a universal set. \[ A\rightarrow III \]

Step 2: Power set operation.
Power set of a set is the collection of all subsets of that set. \[ B\rightarrow I \]

Step 3: Cartesian product.
Cartesian product gives ordered pairs or ordered tuples. \[ C\rightarrow II \]

Step 4: Union and intersection.
Union and intersection are related to set operations and can be used in defining symmetric difference. \[ D\rightarrow IV \] Therefore, \[ A-III,\ B-I,\ C-II,\ D-IV \] \[ \therefore \text{Correct Answer is (D)} \]