Permutations and CombinationsMCQPYQ Sep 24Question 6723 of 119
All Questions

A selection is to be made for one post of Principal and two posts of Vice-Principal. Amongst the six candidates called for the interview, only two are eligible for the post of Principal, while they all six are eligible for the post of Vice-Principal. The no. of possible combinations for the selection is:

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

Correct Answer

✅ Option D — 20

All Options:

  • A12
  • B4
  • C18
  • D20 ✓

Detailed Solution & Explanation

PYQ Sep 24

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

More Questions from Permutations and Combinations

The lowest point in the business cycle is referred to as the:

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?

Ready to Master Permutations and Combinations?

Practice all 119 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free