Permutations and CombinationsMCQPYQ Nov 20Question 6708 of 119
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Out of 7 boys and 4 girls, a team of a debate club of 5 is to be chosen. The number of teams such that each team includes at least one girl is:

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

✅ Option D — 441

All Options:

  • A439
  • B429
  • C419
  • D441 ✓

Detailed Solution & Explanation

PYQ Nov 20

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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