Permutations and CombinationsMCQMTP Dec 2023 Series IIQuestion 6731 of 119
All Questions

The maximum number of points of intersection of $10$ circles will be:

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

✅ Option C — $90$

All Options:

  • A2\displaystyle 2
  • B$20$
  • C$90$ ✓
  • D$180$

Detailed Solution & Explanation

MTP Dec 2023 Series II

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.

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