Permutations and CombinationsMCQPYQ Jun 23Question 6720 of 119
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A committee of 3 women and 4 men is to be formed out of 5 women and 7 men. Mrs. X can refuse to serve in a committee in which Mr. Y is a member. The no. of such committees can be:

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option D — 1540

All Options:

  • A1530
  • B1500
  • C1520
  • D1540 ✓

Detailed Solution & Explanation

PYQ Jun 23

About This Chapter: Permutations and Combinations

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Factorials, Permutations, Combinations

This chapter deals with the fundamental principles of counting. It covers factorials, circular permutations, restricted permutations, combinations, and the differences between selecting items versus arranging them.

View Official ICAI Syllabus

Exam Strategy Tip

The most common mistake is confusing 'P' (Arrangement) with 'C' (Selection). If order matters (like opening a lock), use P. If order doesn't matter (like choosing a team), use C.

Related Comparison Tables

Permutations vs Combinations: The Quantitative Aptitude Guide

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A leading indicator is:

Which of the following is not a characteristic of business cycles?

Economic recession shares all of these characteristics except:

The different phases of a business cycle:

Which of the following is not an example of coincident indicator?

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