Sets, Relations and FunctionsMCQMTP June 2023 Series IQuestion 1932 of 217
All Questions

If A={0,1,2,3,4,5}\displaystyle A = \{0, 1, 2, 3, 4, 5\} then the no. of subsets of A\displaystyle A

Options

A64
B63
C61
D60
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Correct Answer

Option a64

All Options:

  • A64
  • B63
  • C61
  • D60

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Detailed Solution & Explanation

The set A={0,1,2,3,4,5}\displaystyle A = \{0, 1, 2, 3, 4, 5\} contains 6 elements, so n(A)=6\displaystyle n(A) = 6.
The number of subsets of a set with n\displaystyle n elements is given by 2n\displaystyle 2^n.
Therefore, the number of subsets of A\displaystyle A is:
Number of subsets=26=64\text{Number of subsets} = 2^6 = 64
*Note: The exact mathematical number of subsets is 64, corresponding to Option A. The textbook answer key lists Option D (60) as correct, which is a typographical error in the key.*
Hence, **Option A** 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.

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