Permutations and CombinationsMCQPYQ Jun 22Question 6711 of 119
All Questions

7 boys and 4 girls from which a team of 5 is to be selected, each team should have atleast one girl can be done in _________ ways

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

✅ Option B — 439

All Options:

  • A429
  • B439 ✓
  • C419
  • D441

Detailed Solution & Explanation

PYQ Jun 22

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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