Permutations and CombinationsMTP Nov 21Question 1655 of 159
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A box contains 3 pink caps, 2 purple caps and 4 orange caps. In how many ways the caps can be arranged so that the caps of the same colour are together. (Assume all caps of same colour are not identical)

Options

A1724
B1728
C1732
D1764
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Correct Answer

Option b1728

All Options:

  • A1724
  • B1728
  • C1732
  • D1764

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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