Permutations and CombinationsMTP Jun 24Question 1744 of 176
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The no. of ways that 12\displaystyle 12 prizes can be divided among 5\displaystyle 5 students so that each may give 3\displaystyle 3 prizes is

Options

A15,400\displaystyle 15,400
B15,000\displaystyle 15,000
C14,400\displaystyle 14,400
D16,800\displaystyle 16,800
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Correct Answer

Option d16,800\displaystyle 16,800

All Options:

  • A15,400\displaystyle 15,400
  • B15,000\displaystyle 15,000
  • C14,400\displaystyle 14,400
  • D16,800\displaystyle 16,800

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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