Sets, Relations and FunctionsMCQPYQ Dec. 22Question 1902 of 222
All Questions

The number of subsets of the set {0,1,2,3}\displaystyle \{0, 1, 2, 3\} is:

Select Your Answer (Keyboard: A, B, C, D)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — 16

All Options:

  • A2
  • B4
  • C8
  • D16

Detailed Solution & Explanation

The given set is S={0,1,2,3}\displaystyle S = \{0, 1, 2, 3\}.
Let n\displaystyle n represent the number of elements in the set S\displaystyle S. Here, n=4\displaystyle n = 4.
The formula for the total number of subsets of a set with n\displaystyle n elements is:
Number of Subsets=2nNumber of Subsets=2n\displaystyle \text{Number of Subsets} = 2^n
Substituting n=4\displaystyle n = 4:
Number of Subsets=24=16Number of Subsets=24=16\displaystyle \text{Number of Subsets} = 2^4 = 16
Hence, **Option D** is the correct answer.

About This Chapter: Sets, Relations and Functions

Paper

Paper 3: Quantitative Aptitude

Weightage

3-5 Marks

Key Topics

Sets, Relations, Functions

This chapter covers Sets, Relations, Functions and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 3-5 Marks weightage. Focus on understanding core concepts rather than memorizing.

Key Concepts to Understand

Related Comparison Tables

More Questions from Sets, Relations and Functions

Ready to Master Sets, Relations and Functions?

Practice all 222 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free