In how many ways can the letters of the word "DIRECTOR" be arranged so that the three vowels are never together?
Options
A180
B18,000
C18,002
DNone of these
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Permutations and CombinationsMTP Jun 22Question 1659 of 159
All Questions Correct Answer
✅ Option b — 18,000
All Options:
- A180
- B18,000
- C18,002
- DNone of these
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 SyllabusExam 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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