Permutations and CombinationsMCQPYQ Sep 24Question 6724 of 119
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How many total combinations can be formed of 8 different counters marked as 1, 2, 3, 4, 5, 6, 7, and 8, taking 4 counters at a time and there being at least one odd and one even numbered counter in each combination?

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

✅ Option B — 68

All Options:

  • A66
  • B68 ✓
  • C64
  • D62

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.

Key Concepts to Understand

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